%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE173+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:58:27 PM UTC 2026
% Result : Satisfiable 0.12s 0.37s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : addition(A,zero) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : addition(A,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] : multiplication(one,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] : multiplication(A,zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : multiplication(zero,A) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& multiplication(X1,X0) = zero
& multiplication(X0,X1) = zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( ! [X3] :
( ( leq(X3,X1)
& leq(X3,X0) )
=> leq(X3,X2) )
& leq(X2,X1)
& leq(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X0,X1,X2] :
( ismeetu(X2,X0,X1)
<=> ! [X3] :
( ( leq(X3,X1)
& leq(X3,X0) )
<=> leq(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f26,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f27,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f28,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f29,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
! [X0] : multiplication(X0,zero) = zero,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
! [X0] : multiplication(zero,X0) = zero,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f32,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( addition(A,B) = B
| ~ leq(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f33,plain,
( ! [A,B] :
( addition(A,B) != B
| leq(A,B) )
& ! [A,B] :
( addition(A,B) = B
| ~ leq(A,B) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f36,plain,
! [X0] :
( ( ! [X1] : ~ complement(X1,X0)
| test(X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f37,plain,
( ! [X0] :
( ! [X1] : ~ complement(X1,X0)
| test(X0) )
& ! [X0] :
( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f38,plain,
( ! [X0] :
( ! [X1] : ~ complement(X1,X0)
| test(X0) )
& ! [X0] :
( complement(sK0_skl(X0),X0)
| ~ test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X1,sK0_skl(X0))],[f37]) ).
fof(f39,plain,
! [X0] :
( complement(sK0_skl(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f41,plain,
! [X0,X1] :
( ( addition(X0,X1) != one
| multiplication(X1,X0) != zero
| multiplication(X0,X1) != zero
| complement(X1,X0) )
& ( ( addition(X0,X1) = one
& multiplication(X1,X0) = zero
& multiplication(X0,X1) = zero )
| ~ complement(X1,X0) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f42,plain,
( ! [X0,X1] :
( addition(X0,X1) != one
| multiplication(X1,X0) != zero
| multiplication(X0,X1) != zero
| complement(X1,X0) )
& ! [X0,X1] :
( ( addition(X0,X1) = one
& multiplication(X1,X0) = zero
& multiplication(X0,X1) = zero )
| ~ complement(X1,X0) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( multiplication(X1,X0) = zero
| ~ complement(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( multiplication(X0,X1) = zero
| ~ complement(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f45,plain,
! [X0,X1] :
( addition(X1,X0) = one
| ~ complement(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f46,plain,
! [X0,X1] :
( addition(X1,X0) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| complement(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f47,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f48,plain,
! [X0,X1] :
( ( ( ~ complement(X0,X1)
| c(X0) = X1 )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(NNF_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0] :
( ( ! [X1] :
( ~ complement(X0,X1)
| c(X0) = X1 )
& ! [X1] :
( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f52,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f53,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X1)
| ~ test(X0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f55,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X1)
| ~ test(X0) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X1)
| ~ test(X0) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f57,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X1)
| ~ test(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) )
& leq(X2,X1)
& leq(X2,X0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X1)
& leq(X3,X0) )
| ~ leq(X2,X1)
| ~ leq(X2,X0)
| ismeet(X2,X0,X1) )
& ( ( ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) )
& leq(X2,X1)
& leq(X2,X0) )
| ~ ismeet(X2,X0,X1) ) ),
inference(NNF_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
( ! [X0,X1,X2] :
( ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X1)
& leq(X3,X0) )
| ~ leq(X2,X1)
| ~ leq(X2,X0)
| ismeet(X2,X0,X1) )
& ! [X0,X1,X2] :
( ( ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) )
& leq(X2,X1)
& leq(X2,X0) )
| ~ ismeet(X2,X0,X1) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f61,plain,
( ! [X0,X1,X2] :
( ( ~ leq(sK1_skl(X2,X1,X0),X2)
& leq(sK1_skl(X2,X1,X0),X1)
& leq(sK1_skl(X2,X1,X0),X0) )
| ~ leq(X2,X1)
| ~ leq(X2,X0)
| ismeet(X2,X0,X1) )
& ! [X0,X1,X2] :
( ( ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) )
& leq(X2,X1)
& leq(X2,X0) )
| ~ ismeet(X2,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X3,sK1_skl(X2,X1,X0))],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( leq(X0,X1)
| ~ ismeet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ ismeet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( leq(X3,X0)
| ~ leq(X3,X2)
| ~ leq(X3,X1)
| ~ ismeet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f65,plain,
! [X0,X1,X2] :
( leq(sK1_skl(X0,X2,X1),X1)
| ~ leq(X0,X2)
| ~ leq(X0,X1)
| ismeet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f66,plain,
! [X0,X1,X2] :
( leq(sK1_skl(X0,X2,X1),X2)
| ~ leq(X0,X2)
| ~ leq(X0,X1)
| ismeet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ leq(sK1_skl(X0,X2,X1),X0)
| ~ leq(X0,X2)
| ~ leq(X0,X1)
| ismeet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( ( leq(X3,X2)
| ( leq(X3,X1)
& leq(X3,X0) ) )
& ( ~ leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) ) )
| ismeetu(X2,X0,X1) )
& ( ! [X3] :
( ( ~ leq(X3,X2)
| ( leq(X3,X1)
& leq(X3,X0) ) )
& ( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) ) )
| ~ ismeetu(X2,X0,X1) ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f69,plain,
( ! [X0,X1,X2] :
( ? [X3] :
( ( leq(X3,X2)
| ( leq(X3,X1)
& leq(X3,X0) ) )
& ( ~ leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) ) )
| ismeetu(X2,X0,X1) )
& ! [X0,X1,X2] :
( ( ! [X3] :
( ~ leq(X3,X2)
| ( leq(X3,X1)
& leq(X3,X0) ) )
& ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) ) )
| ~ ismeetu(X2,X0,X1) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f70,plain,
( ! [X0,X1,X2] :
( ( ( leq(sK2_skl(X2,X1,X0),X2)
| ( leq(sK2_skl(X2,X1,X0),X1)
& leq(sK2_skl(X2,X1,X0),X0) ) )
& ( ~ leq(sK2_skl(X2,X1,X0),X2)
| ~ leq(sK2_skl(X2,X1,X0),X1)
| ~ leq(sK2_skl(X2,X1,X0),X0) ) )
| ismeetu(X2,X0,X1) )
& ! [X0,X1,X2] :
( ( ! [X3] :
( ~ leq(X3,X2)
| ( leq(X3,X1)
& leq(X3,X0) ) )
& ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) ) )
| ~ ismeetu(X2,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X3,sK2_skl(X2,X1,X0))],[f69]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( leq(X3,X0)
| ~ leq(X3,X2)
| ~ leq(X3,X1)
| ~ ismeetu(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ~ leq(X3,X0)
| leq(X3,X1)
| ~ ismeetu(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ~ leq(X3,X0)
| leq(X3,X2)
| ~ ismeetu(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ leq(sK2_skl(X0,X2,X1),X0)
| ~ leq(sK2_skl(X0,X2,X1),X2)
| ~ leq(sK2_skl(X0,X2,X1),X1)
| ismeetu(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f75,plain,
! [X0,X1,X2] :
( leq(sK2_skl(X0,X2,X1),X0)
| leq(sK2_skl(X0,X2,X1),X1)
| ismeetu(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f76,plain,
! [X0,X1,X2] :
( leq(sK2_skl(X0,X2,X1),X0)
| leq(sK2_skl(X0,X2,X1),X2)
| ismeetu(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f77,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f50]) ).
fof(f84,plain,
! [X0] : X0 = addition(zero,X0),
inference(paramodulation,[status(thm)],[f23,f21]) ).
fof(f105,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f106,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f107,plain,
! [X0,X1] : addition(X0,addition(X1,addition(X0,X1))) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f24,f22]) ).
fof(f111,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f112,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f113,plain,
! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f24,f22]) ).
fof(f115,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f116,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f117,plain,
! [X0,X1] : addition(X0,addition(X1,addition(X0,X1))) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f121,plain,
! [X0] : leq(X0,X0),
inference(resolution,[status(thm)],[f35,f24]) ).
fof(f122,plain,
! [X0] : leq(zero,X0),
inference(resolution,[status(thm)],[f35,f84]) ).
fof(f123,plain,
! [X0,X1,X2] :
( addition(X0,addition(X1,X2)) != X2
| leq(addition(X0,X1),X2) ),
inference(paramodulation,[status(thm)],[f22,f35]) ).
fof(f126,plain,
! [X0,X1] :
( addition(X1,X0) != X1
| leq(X0,X1) ),
inference(paramodulation,[status(thm)],[f21,f35]) ).
fof(f150,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f28]) ).
fof(f151,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f28]) ).
fof(f157,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f162,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f163,plain,
! [X0,X1,X2] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(paramodulation,[status(thm)],[f28,f35]) ).
fof(f164,plain,
! [X0,X1,X2,X3] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(paramodulation,[status(thm)],[f28,f22]) ).
fof(f165,plain,
! [X0,X1,X2] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X2,X1)),
inference(paramodulation,[status(thm)],[f28,f21]) ).
fof(f166,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f28,f21]) ).
fof(f182,plain,
! [X0] :
( c(X0) = zero
| complement(sK0_skl(X0),X0) ),
inference(resolution,[status(thm)],[f39,f53]) ).
fof(f183,plain,
! [X0] :
( c(X0) = zero
| complement(X0,c(X0)) ),
inference(resolution,[status(thm)],[f77,f53]) ).
fof(f187,plain,
! [X0,X1,X2] :
( multiplication(X0,addition(X2,X1)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(paramodulation,[status(thm)],[f28,f126]) ).
fof(f188,plain,
! [X0,X1,X2] :
( addition(X1,addition(X2,X0)) != addition(X1,X2)
| leq(X0,addition(X1,X2)) ),
inference(paramodulation,[status(thm)],[f22,f126]) ).
fof(f198,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(paramodulation,[status(thm)],[f21,f29]) ).
fof(f199,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(paramodulation,[status(thm)],[f21,f29]) ).
fof(f201,plain,
! [X0,X1,X2,X3] : multiplication(addition(multiplication(X0,X1),X2),X3) = addition(multiplication(X0,multiplication(X1,X3)),multiplication(X2,X3)),
inference(paramodulation,[status(thm)],[f25,f29]) ).
fof(f203,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f29]) ).
fof(f206,plain,
! [X0,X1,X2,X3] : multiplication(addition(X0,multiplication(X1,X2)),X3) = addition(multiplication(X0,X3),multiplication(X1,multiplication(X2,X3))),
inference(paramodulation,[status(thm)],[f25,f29]) ).
fof(f208,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(multiplication(X0,X1),X1),
inference(paramodulation,[status(thm)],[f27,f29]) ).
fof(f212,plain,
! [X0,X1,X2] :
( multiplication(addition(X2,X0),X1) != multiplication(X2,X1)
| leq(multiplication(X0,X1),multiplication(X2,X1)) ),
inference(paramodulation,[status(thm)],[f29,f126]) ).
fof(f213,plain,
! [X0,X1,X2] :
( multiplication(addition(X0,X2),X1) != multiplication(X2,X1)
| leq(multiplication(X0,X1),multiplication(X2,X1)) ),
inference(paramodulation,[status(thm)],[f29,f35]) ).
fof(f214,plain,
! [X0,X1,X2,X3] : addition(multiplication(X0,X1),addition(multiplication(X2,X1),X3)) = addition(multiplication(addition(X0,X2),X1),X3),
inference(paramodulation,[status(thm)],[f29,f22]) ).
fof(f215,plain,
! [X0,X1,X2] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X2,X0),X1),
inference(paramodulation,[status(thm)],[f29,f21]) ).
fof(f216,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(paramodulation,[status(thm)],[f29,f21]) ).
fof(f228,plain,
( multiplication(zero,one) != zero
| multiplication(one,zero) != zero
| complement(zero,one) ),
inference(resolution,[status(thm)],[f46,f23]) ).
fof(f229,plain,
( multiplication(one,one) != zero
| multiplication(one,one) != zero
| complement(one,one) ),
inference(resolution,[status(thm)],[f46,f24]) ).
fof(f230,plain,
( multiplication(one,zero) != zero
| multiplication(zero,one) != zero
| complement(one,zero) ),
inference(resolution,[status(thm)],[f46,f84]) ).
fof(f231,plain,
! [X0,X1,X2] :
( multiplication(addition(X2,X0),X1) != one
| multiplication(multiplication(X0,X1),multiplication(X2,X1)) != zero
| multiplication(multiplication(X2,X1),multiplication(X0,X1)) != zero
| complement(multiplication(X0,X1),multiplication(X2,X1)) ),
inference(paramodulation,[status(thm)],[f29,f46]) ).
fof(f232,plain,
! [X0,X1,X2] :
( multiplication(X0,addition(X2,X1)) != one
| multiplication(multiplication(X0,X1),multiplication(X0,X2)) != zero
| multiplication(multiplication(X0,X2),multiplication(X0,X1)) != zero
| complement(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(paramodulation,[status(thm)],[f28,f46]) ).
fof(f233,plain,
! [X0,X1,X2] :
( addition(X1,addition(X2,X0)) != one
| multiplication(X0,addition(X1,X2)) != zero
| multiplication(addition(X1,X2),X0) != zero
| complement(X0,addition(X1,X2)) ),
inference(paramodulation,[status(thm)],[f22,f46]) ).
fof(f234,plain,
! [X0] :
( X0 != one
| multiplication(X0,zero) != zero
| multiplication(zero,X0) != zero
| complement(X0,zero) ),
inference(paramodulation,[status(thm)],[f84,f46]) ).
fof(f235,plain,
! [X0] :
( X0 != one
| multiplication(zero,X0) != zero
| multiplication(X0,zero) != zero
| complement(zero,X0) ),
inference(paramodulation,[status(thm)],[f23,f46]) ).
fof(f236,plain,
! [X0,X1] :
( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| complement(X0,X1) ),
inference(paramodulation,[status(thm)],[f21,f46]) ).
fof(f237,plain,
! [X0,X1] :
( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| complement(X0,X1) ),
inference(paramodulation,[status(thm)],[f21,f46]) ).
fof(f238,plain,
! [X0] :
( X0 != one
| multiplication(X0,X0) != zero
| multiplication(X0,X0) != zero
| complement(X0,X0) ),
inference(paramodulation,[status(thm)],[f24,f46]) ).
fof(f239,definition,
( sQ0_spl
<=> complement(zero,one) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f242,definition,
( sQ1_spl
<=> multiplication(one,zero) = zero ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( sQ1_spl
| multiplication(one,zero) != zero ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ2_spl
<=> multiplication(zero,one) = zero ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( sQ2_spl
| multiplication(zero,one) != zero ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f228,f239,f242,f245]) ).
fof(f249,definition,
( sQ3_spl
<=> complement(one,one) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ3_spl
| complement(one,one) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ4_spl
<=> multiplication(one,one) = zero ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ4_spl
| multiplication(one,one) = zero ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( sQ4_spl
| multiplication(one,one) != zero ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( ~ sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f229,f249,f252]) ).
fof(f256,definition,
( sQ5_spl
<=> complement(one,zero) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f230,f256,f245,f242]) ).
fof(f260,plain,
! [X0,X1,X2] :
( multiplication(addition(X2,X0),X1) != one
| multiplication(multiplication(X0,X1),multiplication(X2,X1)) != zero
| multiplication(X2,multiplication(X1,multiplication(X0,X1))) != zero
| complement(multiplication(X0,X1),multiplication(X2,X1)) ),
inference(forward_demodulation,[status(thm)],[f25,f231]) ).
fof(f261,plain,
! [X0,X1,X2] :
( multiplication(addition(X2,X0),X1) != one
| multiplication(X0,multiplication(X1,multiplication(X2,X1))) != zero
| multiplication(X2,multiplication(X1,multiplication(X0,X1))) != zero
| complement(multiplication(X0,X1),multiplication(X2,X1)) ),
inference(forward_demodulation,[status(thm)],[f25,f260]) ).
fof(f262,plain,
! [X0,X1,X2] :
( multiplication(X0,addition(X2,X1)) != one
| multiplication(multiplication(X0,X1),multiplication(X0,X2)) != zero
| multiplication(X0,multiplication(X2,multiplication(X0,X1))) != zero
| complement(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(forward_demodulation,[status(thm)],[f25,f232]) ).
fof(f263,plain,
! [X0,X1,X2] :
( multiplication(X0,addition(X2,X1)) != one
| multiplication(X0,multiplication(X1,multiplication(X0,X2))) != zero
| multiplication(X0,multiplication(X2,multiplication(X0,X1))) != zero
| complement(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(forward_demodulation,[status(thm)],[f25,f262]) ).
fof(f264,plain,
! [X0] :
( X0 != one
| multiplication(X0,zero) != zero
| zero != zero
| complement(X0,zero) ),
inference(forward_demodulation,[status(thm)],[f31,f234]) ).
fof(f265,plain,
! [X0] :
( X0 != one
| zero != zero
| zero != zero
| complement(X0,zero) ),
inference(forward_demodulation,[status(thm)],[f30,f264]) ).
fof(f266,plain,
! [X0] :
( X0 != one
| zero != zero
| complement(X0,zero) ),
inference(duplicate_literals_removal,[status(thm)],[f265]) ).
fof(f267,plain,
! [X0] :
( X0 != one
| complement(X0,zero) ),
inference(trivial_equality_resolution,[status(thm)],[f266]) ).
fof(f268,plain,
complement(one,zero),
inference(destructive_equality_resolution,[status(thm)],[f267]) ).
fof(f269,plain,
! [X0] :
( X0 != one
| multiplication(zero,X0) != zero
| zero != zero
| complement(zero,X0) ),
inference(forward_demodulation,[status(thm)],[f30,f235]) ).
fof(f270,plain,
! [X0] :
( X0 != one
| zero != zero
| zero != zero
| complement(zero,X0) ),
inference(forward_demodulation,[status(thm)],[f31,f269]) ).
fof(f271,plain,
! [X0] :
( X0 != one
| zero != zero
| complement(zero,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f270]) ).
fof(f272,plain,
! [X0] :
( X0 != one
| complement(zero,X0) ),
inference(trivial_equality_resolution,[status(thm)],[f271]) ).
fof(f273,plain,
complement(zero,one),
inference(destructive_equality_resolution,[status(thm)],[f272]) ).
fof(f274,plain,
! [X0] :
( X0 != one
| multiplication(X0,X0) != zero
| complement(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f238]) ).
fof(f275,plain,
( multiplication(one,one) != zero
| complement(one,one) ),
inference(destructive_equality_resolution,[status(thm)],[f274]) ).
fof(f276,plain,
( sQ1_spl
| zero != zero ),
inference(forward_demodulation,[status(thm)],[f27,f244]) ).
fof(f277,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f276]) ).
fof(f278,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f277]) ).
fof(f279,plain,
( sQ2_spl
| zero != zero ),
inference(forward_demodulation,[status(thm)],[f31,f247]) ).
fof(f280,plain,
( sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f279]) ).
fof(f281,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( c(one) = zero
| ~ test(one) ),
inference(resolution,[status(thm)],[f268,f51]) ).
fof(f286,plain,
test(zero),
inference(resolution,[status(thm)],[f268,f40]) ).
fof(f287,definition,
( sQ6_spl
<=> test(one) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( sQ6_spl
| ~ test(one) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,definition,
( sQ7_spl
<=> c(one) = zero ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ7_spl
| c(one) = zero ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f282,f287,f290]) ).
fof(f294,plain,
complement(zero,c(zero)),
inference(resolution,[status(thm)],[f286,f77]) ).
fof(f295,plain,
complement(sK0_skl(zero),zero),
inference(resolution,[status(thm)],[f286,f39]) ).
fof(f296,plain,
( sQ6_spl
| c(one) = zero ),
inference(resolution,[status(thm)],[f289,f53]) ).
fof(f297,plain,
( c(zero) = one
| ~ test(zero) ),
inference(resolution,[status(thm)],[f273,f51]) ).
fof(f301,plain,
test(one),
inference(resolution,[status(thm)],[f273,f40]) ).
fof(f302,definition,
( sQ8_spl
<=> test(zero) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( sQ8_spl
| ~ test(zero) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ9_spl
<=> c(zero) = one ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ9_spl
| c(zero) = one ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f297,f302,f305]) ).
fof(f309,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f301,f289]) ).
fof(f310,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f309]) ).
fof(f311,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f304,f286]) ).
fof(f312,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f311]) ).
fof(f313,plain,
complement(one,c(one)),
inference(resolution,[status(thm)],[f301,f77]) ).
fof(f314,plain,
complement(sK0_skl(one),one),
inference(resolution,[status(thm)],[f301,f39]) ).
fof(f315,plain,
! [X0] :
( c(addition(X0,one)) = multiplication(c(X0),c(one))
| ~ test(X0) ),
inference(resolution,[status(thm)],[f55,f301]) ).
fof(f316,plain,
! [X0] :
( c(addition(X0,zero)) = multiplication(c(X0),c(zero))
| ~ test(X0) ),
inference(resolution,[status(thm)],[f55,f286]) ).
fof(f317,plain,
! [X0,X1] :
( c(X1) = zero
| c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X0) ),
inference(resolution,[status(thm)],[f55,f53]) ).
fof(f318,plain,
! [X0] :
( c(X0) = multiplication(c(X0),c(zero))
| ~ test(X0) ),
inference(forward_demodulation,[status(thm)],[f23,f316]) ).
fof(f319,plain,
( ~ sQ3_spl
| c(one) = one
| ~ test(one) ),
inference(resolution,[status(thm)],[f250,f51]) ).
fof(f321,plain,
( ~ sQ3_spl
| multiplication(one,one) = zero ),
inference(resolution,[status(thm)],[f250,f44]) ).
fof(f322,plain,
( ~ sQ3_spl
| multiplication(one,one) = zero ),
inference(resolution,[status(thm)],[f250,f43]) ).
fof(f324,definition,
( sQ10_spl
<=> c(one) = one ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ10_spl
| c(one) = one ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( ~ sQ3_spl
| sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f319,f287,f324,f249]) ).
fof(f328,plain,
( ~ sQ3_spl
| one = zero ),
inference(forward_demodulation,[status(thm)],[f27,f321]) ).
fof(f329,plain,
( ~ sQ3_spl
| one = zero ),
inference(forward_demodulation,[status(thm)],[f27,f322]) ).
fof(f330,plain,
( sQ4_spl
| one != zero ),
inference(forward_demodulation,[status(thm)],[f27,f254]) ).
fof(f331,plain,
! [X0] :
( c(multiplication(X0,one)) = addition(c(X0),c(one))
| ~ test(X0) ),
inference(resolution,[status(thm)],[f57,f301]) ).
fof(f332,plain,
! [X0] :
( c(multiplication(X0,zero)) = addition(c(X0),c(zero))
| ~ test(X0) ),
inference(resolution,[status(thm)],[f57,f286]) ).
fof(f333,plain,
! [X0,X1] :
( c(X1) = zero
| c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X0) ),
inference(resolution,[status(thm)],[f57,f53]) ).
fof(f334,plain,
! [X0] :
( c(X0) = addition(c(X0),c(one))
| ~ test(X0) ),
inference(forward_demodulation,[status(thm)],[f26,f331]) ).
fof(f335,plain,
! [X0] :
( c(zero) = addition(c(X0),c(zero))
| ~ test(X0) ),
inference(forward_demodulation,[status(thm)],[f30,f332]) ).
fof(f336,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| one = zero ),
inference(backward_demodulation,[status(thm)],[f325,f291]) ).
fof(f337,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f336,f330]) ).
fof(f338,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f337]) ).
fof(f339,plain,
( ~ sQ4_spl
| one = zero ),
inference(forward_demodulation,[status(thm)],[f27,f253]) ).
fof(f341,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| complement(one,one) ),
inference(backward_demodulation,[status(thm)],[f336,f273]) ).
fof(f343,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| complement(one,one) ),
inference(backward_demodulation,[status(thm)],[f336,f268]) ).
fof(f344,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ10_spl
| addition(X1,X0) != one
| multiplication(X0,X1) != one
| multiplication(X1,X0) != zero
| complement(X0,X1) ),
inference(backward_demodulation,[status(thm)],[f336,f46]) ).
fof(f347,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ10_spl
| leq(one,X0) ),
inference(backward_demodulation,[status(thm)],[f336,f122]) ).
fof(f349,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ10_spl
| multiplication(zero,X0) = one ),
inference(backward_demodulation,[status(thm)],[f336,f31]) ).
fof(f353,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ10_spl
| addition(X1,X0) != one
| multiplication(X0,X1) != one
| multiplication(X1,X0) != one
| complement(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f336,f344]) ).
fof(f354,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ10_spl
| multiplication(one,X0) = one ),
inference(forward_demodulation,[status(thm)],[f336,f349]) ).
fof(f362,plain,
! [X0,X1] :
( leq(sK1_skl(X0,X1,X0),X0)
| ~ leq(X0,X1)
| ismeet(X0,X0,X1) ),
inference(resolution,[status(thm)],[f65,f121]) ).
fof(f395,plain,
! [X0,X1] :
( leq(sK1_skl(X0,X1,X0),X1)
| ~ leq(X0,X1)
| ismeet(X0,X0,X1) ),
inference(resolution,[status(thm)],[f66,f121]) ).
fof(f397,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ10_spl
| X0 = one ),
inference(paramodulation,[status(thm)],[f27,f354]) ).
fof(f415,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ10_spl
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f397,f397]) ).
fof(f418,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| complement(one,X0) ),
inference(paramodulation,[status(thm)],[f397,f250]) ).
fof(f420,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ10_spl
| leq(X0,X1) ),
inference(paramodulation,[status(thm)],[f397,f347]) ).
fof(f421,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ10_spl
| test(X0) ),
inference(paramodulation,[status(thm)],[f397,f301]) ).
fof(f424,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ sQ10_spl
| ~ leq(one,X0)
| ~ leq(X0,X2)
| ~ leq(X0,X1)
| ismeet(X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f397,f67]) ).
fof(f425,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ sQ10_spl
| ~ leq(X0,X2)
| ~ leq(X0,X1)
| ismeet(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f424,f347]) ).
fof(f428,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ10_spl
| complement(X0,c(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f77,f421]) ).
fof(f429,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ10_spl
| complement(sK0_skl(X0),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f39,f421]) ).
fof(f432,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| complement(X0,X1) ),
inference(paramodulation,[status(thm)],[f415,f418]) ).
fof(f434,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ sQ10_spl
| ~ leq(sK2_skl(X0,X2,X1),X0)
| ~ leq(sK2_skl(X0,X2,X1),X2)
| ismeetu(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f74,f420]) ).
fof(f435,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ sQ10_spl
| ~ leq(sK2_skl(X0,X2,X1),X0)
| ismeetu(X0,X1,X2) ),
inference(resolution,[status(thm)],[f434,f420]) ).
fof(f438,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ sQ10_spl
| ismeetu(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f435,f420]) ).
fof(f441,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ sQ10_spl
| ~ leq(X0,X2)
| ismeet(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f425,f420]) ).
fof(f442,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ sQ10_spl
| ismeet(X0,X1,X2) ),
inference(resolution,[status(thm)],[f441,f420]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl
| sQ4_spl
| sQ5_spl
| sQ6_spl
| sQ7_spl
| sQ8_spl
| sQ9_spl
| sQ10_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE173+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 22:49:12 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.12/0.37 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.37 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.036074 seconds
% 0.12/0.39 % CPU time: 0.120385 seconds
% 0.12/0.39 % Total memory used: 3.958 MB
% 0.12/0.39 % Net memory used: 3.779 MB
%------------------------------------------------------------------------------