%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN622-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 : Fri Sep 25 03:35:21 PM UTC 2026
% Result : Unsatisfiable 5.32s 1.24s
% Output : Proof 5.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 43 unt; 0 def)
% Number of atoms : 67 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 26 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 72 ( 2 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f25,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_26) ).
fof(f25_nnf,plain,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(t246,plain,
ifeq(p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(f30,negated_conjecture,
( ~ p8(X40,X42)
| ~ p11(X39,X41)
| p8(f12(X39,X40),f12(X41,X42)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_31) ).
fof(f30_nnf,plain,
! [X39,X40,X41,X42] :
( ~ p8(X40,X42)
| ~ p11(X39,X41)
| p8(f12(X39,X40),f12(X41,X42)) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X39,X40,X41,X42] :
( ~ p8(X40,X42)
| ~ p11(X39,X41)
| p8(f12(X39,X40),f12(X41,X42)) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ p8(X1,X3)
| ~ p11(X0,X2)
| p8(f12(X0,X1),f12(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(hi28,negated_conjecture,
ifeq(p11(X0,X1),true,ifeq(p8(X2,X3),true,p8(f12(X0,X2),f12(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(f0,negated_conjecture,
p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).
fof(f0_nnf,plain,
! [X0] : p11(X0,X0),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X0] : p11(X0,X0),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
p11(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,negated_conjecture,
p11(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(f7,negated_conjecture,
p8(f16(X50,f17(X51,X50)),X51),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_8) ).
fof(f7_nnf,plain,
! [X50,X51] : p8(f16(X50,f17(X51,X50)),X51),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X50,X51] : p8(f16(X50,f17(X51,X50)),X51),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
p8(f16(X0,f17(X1,X0)),X1),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi7,negated_conjecture,
p8(f16(X0,f17(X1,X0)),X1) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(h48,plain,
p8(f12(V0,f16(V1,f17(V2,V1))),f12(V0,V2)) = true,
inference(hyper_resolution,[status(thm)],[hi28,hi0,hi7]) ).
cnf(f20,negated_conjecture,
( ~ p8(X36,X38)
| ~ p8(X36,X37)
| p8(X37,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_21) ).
fof(f20_nnf,plain,
! [X37,X38,X36] :
( ~ p8(X36,X38)
| ~ p8(X36,X37)
| p8(X37,X38) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X37,X38,X36] :
( ~ p8(X36,X38)
| ~ p8(X36,X37)
| p8(X37,X38) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(hi19,negated_conjecture,
ifeq(p8(X0,X1),true,ifeq(p8(X0,X2),true,p8(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(f23,negated_conjecture,
p8(f12(f13(c23),X43),f12(f13(c26),f16(c27,X43))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_24) ).
fof(f23_nnf,plain,
! [X43] : p8(f12(f13(c23),X43),f12(f13(c26),f16(c27,X43))),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X43] : p8(f12(f13(c23),X43),f12(f13(c26),f16(c27,X43))),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
p8(f12(f13(c23),X0),f12(f13(c26),f16(c27,X0))),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(hi22,negated_conjecture,
p8(f12(f13(c23),X0),f12(f13(c26),f16(c27,X0))) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(f2,negated_conjecture,
p8(X36,X36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
fof(f2_nnf,plain,
! [X36] : p8(X36,X36),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X36] : p8(X36,X36),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p8(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
p8(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h443,plain,
p8(f12(f13(c26),f16(c27,V0)),f12(f13(c23),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi19,hi22,hi2]) ).
cnf(t152,plain,
p8(f12(f13(c23),f17(X1,c27)),f12(f13(c26),X1)) = true,
inference(hyper_resolution,[status(thm)],[hi19,h443,h48]) ).
cnf(t330,plain,
p8(f12(f13(c23),f17(X1,c27)),f12(f13(c26),X1)) = true,
inference(orient,[status(thm)],[t152]) ).
cnf(t1075,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t246,t330]) ).
cnf(t12,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t256,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t12]) ).
cnf(t1076,plain,
false = true,
inference(step,[status(thm)],[t1075,t256]) ).
cnf(t1072,plain,
false = true,
inference(orient,[status(thm)],[t1076]) ).
cnf(f17,negated_conjecture,
~ p8(f12(f13(c26),c27),f14(f15(f5(c25)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_18) ).
fof(f17_nnf,plain,
~ p8(f12(f13(c26),c27),f14(f15(f5(c25)))),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
~ p8(f12(f13(c26),c27),f14(f15(f5(c25)))),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
~ p8(f12(f13(c26),c27),f14(f15(f5(c25)))),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c17,c25]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1072]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN622-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.39 % Computer : n014.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Fri Sep 25 01:54:48 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.32/1.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.32/1.24 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------