%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN076-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 : Tue Sep 29 02:06:42 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 34
% Syntax : Number of formulae : 128 ( 2 unt; 0 def)
% Number of atoms : 668 ( 419 equ)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 835 ( 295 ~; 540 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 416 ( 416 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
c2 != c1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0] :
( X0 = c2
| X0 = c1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,plain,
! [X0] :
( c2 = X0
| c1 = X0 ),
inference(reorient_equations,[],[f2]) ).
fof(f4,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| X0 = c3
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| X2 = c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| X0 = c3
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| X2 = c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| X0 = c3
| ~ big_f(X2,X3)
| X2 = f4(X3)
| X3 != c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| ~ big_f(X2,X3)
| f4(X3) = X2
| c4 != X3 ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| X0 = c3
| big_f(X2,X3)
| X2 != f4(X3)
| X3 != c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| big_f(X2,X3)
| f4(X3) != X2
| c4 != X3 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| X0 = c3
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| X2 = c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| X0 = c3
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| X2 = c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| X0 = c3
| ~ big_f(X2,X3)
| X2 = f4(X3)
| X3 != c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| ~ big_f(X2,X3)
| f4(X3) = X2
| c4 != X3 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| X0 = c3
| big_f(X2,X3)
| X2 != f4(X3)
| X3 != c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| big_f(X2,X3)
| f4(X3) != X2
| c4 != X3 ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(X0,X1)
| X1 = f2(X0)
| X0 != c3
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| X2 = c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X0,X1)
| f2(X0) = X1
| c3 != X0
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(X0,X1)
| X1 = f2(X0)
| X0 != c3
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| X2 = c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X0,X1)
| f2(X0) = X1
| c3 != X0
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(X0,X1)
| X1 = f2(X0)
| X0 != c3
| ~ big_f(X2,X3)
| X2 = f4(X3)
| X3 != c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f25,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X0,X1)
| f2(X0) = X1
| c3 != X0
| ~ big_f(X2,X3)
| f4(X3) = X2
| c4 != X3 ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(X0,X1)
| X1 = f2(X0)
| X0 != c3
| big_f(X2,X3)
| X2 != f4(X3)
| X3 != c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X0,X1)
| f2(X0) = X1
| c3 != X0
| big_f(X2,X3)
| f4(X3) != X2
| c4 != X3 ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(X0,X1)
| X1 != f2(X0)
| X0 != c3
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| X2 = c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( big_f(X0,X1)
| f2(X0) != X1
| c3 != X0
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(X0,X1)
| X1 != f2(X0)
| X0 != c3
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| X2 = c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( big_f(X0,X1)
| f2(X0) != X1
| c3 != X0
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(X0,X1)
| X1 != f2(X0)
| X0 != c3
| ~ big_f(X2,X3)
| X2 = f4(X3)
| X3 != c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( big_f(X0,X1)
| f2(X0) != X1
| c3 != X0
| ~ big_f(X2,X3)
| f4(X3) = X2
| c4 != X3 ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(X0,X1)
| X1 != f2(X0)
| X0 != c3
| big_f(X2,X3)
| X2 != f4(X3)
| X3 != c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( big_f(X0,X1)
| f2(X0) != X1
| c3 != X0
| big_f(X2,X3)
| f4(X3) != X2
| c4 != X3 ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),X1)
| X1 = f5(X0)
| f7(X0) = X0
| ~ big_f(X2,f10(X3))
| X2 = f8(X3)
| f10(X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),X1)
| f5(X0) = X1
| f7(X0) = X0
| ~ big_f(X2,f10(X3))
| f8(X3) = X2
| f10(X3) = X3 ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),X1)
| X1 = f5(X0)
| f7(X0) = X0
| big_f(X2,f10(X3))
| X2 != f8(X3)
| f10(X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),X1)
| f5(X0) = X1
| f7(X0) = X0
| big_f(X2,f10(X3))
| f8(X3) != X2
| f10(X3) = X3 ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),X1)
| X1 = f5(X0)
| f7(X0) = X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f41,plain,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),X1)
| f5(X0) = X1
| f7(X0) = X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),X1)
| X1 = f5(X0)
| f7(X0) = X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),X1)
| f5(X0) = X1
| f7(X0) = X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| X1 != f5(X0)
| f7(X0) = X0
| ~ big_f(X2,f10(X3))
| X2 = f8(X3)
| f10(X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| f5(X0) != X1
| f7(X0) = X0
| ~ big_f(X2,f10(X3))
| f8(X3) = X2
| f10(X3) = X3 ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| X1 != f5(X0)
| f7(X0) = X0
| big_f(X2,f10(X3))
| X2 != f8(X3)
| f10(X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| f5(X0) != X1
| f7(X0) = X0
| big_f(X2,f10(X3))
| f8(X3) != X2
| f10(X3) = X3 ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| X1 != f5(X0)
| f7(X0) = X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| f5(X0) != X1
| f7(X0) = X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| X1 != f5(X0)
| f7(X0) = X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| f5(X0) != X1
| f7(X0) = X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| ~ big_f(X2,f10(X3))
| X2 = f8(X3)
| f10(X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| ~ big_f(X2,f10(X3))
| f8(X3) = X2
| f10(X3) = X3 ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| big_f(X2,f10(X3))
| X2 != f8(X3)
| f10(X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| big_f(X2,f10(X3))
| f8(X3) != X2
| f10(X3) = X3 ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
fof(f57,negated_conjecture,
! [X2,X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
fof(f58,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| ~ big_f(X2,f10(X3))
| X2 = f8(X3)
| f10(X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| ~ big_f(X2,f10(X3))
| f8(X3) = X2
| f10(X3) = X3 ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| big_f(X2,f10(X3))
| X2 != f8(X3)
| f10(X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| big_f(X2,f10(X3))
| f8(X3) != X2
| f10(X3) = X3 ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
fof(f63,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
fof(f64,plain,
! [X2,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| ~ big_f(X2,c4)
| f4(c4) = X2 ),
inference(equality_resolution,[],[f9]) ).
fof(f65,plain,
! [X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| big_f(f4(X3),X3)
| c4 != X3 ),
inference(equality_resolution,[],[f11]) ).
fof(f66,plain,
! [X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| big_f(f4(c4),c4) ),
inference(equality_resolution,[],[f65]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| ~ big_f(X2,c4)
| f4(c4) = X2 ),
inference(equality_resolution,[],[f17]) ).
fof(f68,plain,
! [X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| big_f(f4(X3),X3)
| c4 != X3 ),
inference(equality_resolution,[],[f19]) ).
fof(f69,plain,
! [X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| big_f(f4(c4),c4) ),
inference(equality_resolution,[],[f68]) ).
fof(f70,plain,
! [X2,X3,X1] :
( ~ big_f(c3,X1)
| f2(c3) = X1
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(equality_resolution,[],[f21]) ).
fof(f71,plain,
! [X2,X3,X1] :
( ~ big_f(c3,X1)
| f2(c3) = X1
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(equality_resolution,[],[f23]) ).
fof(f72,plain,
! [X2,X3,X1] :
( ~ big_f(c3,X1)
| f2(c3) = X1
| ~ big_f(X2,X3)
| f4(X3) = X2
| c4 != X3 ),
inference(equality_resolution,[],[f25]) ).
fof(f73,plain,
! [X2,X1] :
( ~ big_f(c3,X1)
| f2(c3) = X1
| ~ big_f(X2,c4)
| f4(c4) = X2 ),
inference(equality_resolution,[],[f72]) ).
fof(f74,plain,
! [X2,X3,X1] :
( ~ big_f(c3,X1)
| f2(c3) = X1
| big_f(X2,X3)
| f4(X3) != X2
| c4 != X3 ),
inference(equality_resolution,[],[f27]) ).
fof(f75,plain,
! [X3,X1] :
( ~ big_f(c3,X1)
| f2(c3) = X1
| big_f(f4(X3),X3)
| c4 != X3 ),
inference(equality_resolution,[],[f74]) ).
fof(f76,plain,
! [X1] :
( ~ big_f(c3,X1)
| f2(c3) = X1
| big_f(f4(c4),c4) ),
inference(equality_resolution,[],[f75]) ).
fof(f77,plain,
! [X2,X3,X0] :
( big_f(X0,f2(X0))
| c3 != X0
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(equality_resolution,[],[f29]) ).
fof(f78,plain,
! [X2,X3] :
( big_f(c3,f2(c3))
| big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(equality_resolution,[],[f77]) ).
fof(f79,plain,
! [X2,X3,X0] :
( big_f(X0,f2(X0))
| c3 != X0
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(equality_resolution,[],[f31]) ).
fof(f80,plain,
! [X2,X3] :
( big_f(c3,f2(c3))
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(equality_resolution,[],[f79]) ).
fof(f81,plain,
! [X2,X3,X0] :
( big_f(X0,f2(X0))
| c3 != X0
| ~ big_f(X2,X3)
| f4(X3) = X2
| c4 != X3 ),
inference(equality_resolution,[],[f33]) ).
fof(f82,plain,
! [X2,X3] :
( big_f(c3,f2(c3))
| ~ big_f(X2,X3)
| f4(X3) = X2
| c4 != X3 ),
inference(equality_resolution,[],[f81]) ).
fof(f83,plain,
! [X2] :
( big_f(c3,f2(c3))
| ~ big_f(X2,c4)
| f4(c4) = X2 ),
inference(equality_resolution,[],[f82]) ).
fof(f84,plain,
! [X2,X3,X0] :
( big_f(X0,f2(X0))
| c3 != X0
| big_f(X2,X3)
| f4(X3) != X2
| c4 != X3 ),
inference(equality_resolution,[],[f35]) ).
fof(f85,plain,
! [X2,X3] :
( big_f(c3,f2(c3))
| big_f(X2,X3)
| f4(X3) != X2
| c4 != X3 ),
inference(equality_resolution,[],[f84]) ).
fof(f86,plain,
! [X3] :
( big_f(c3,f2(c3))
| big_f(f4(X3),X3)
| c4 != X3 ),
inference(equality_resolution,[],[f85]) ).
fof(f87,plain,
( big_f(c3,f2(c3))
| big_f(f4(c4),c4) ),
inference(equality_resolution,[],[f86]) ).
fof(f88,plain,
! [X3,X0,X1] :
( ~ big_f(f7(X0),X1)
| f5(X0) = X1
| f7(X0) = X0
| big_f(f8(X3),f10(X3))
| f10(X3) = X3 ),
inference(equality_resolution,[],[f39]) ).
fof(f89,plain,
! [X2,X3,X0] :
( big_f(f7(X0),f5(X0))
| f7(X0) = X0
| ~ big_f(X2,f10(X3))
| f8(X3) = X2
| f10(X3) = X3 ),
inference(equality_resolution,[],[f45]) ).
fof(f90,plain,
! [X2,X3,X0] :
( big_f(f7(X0),f5(X0))
| f7(X0) = X0
| big_f(X2,f10(X3))
| f8(X3) != X2
| f10(X3) = X3 ),
inference(equality_resolution,[],[f47]) ).
fof(f91,plain,
! [X3,X0] :
( big_f(f7(X0),f5(X0))
| f7(X0) = X0
| big_f(f8(X3),f10(X3))
| f10(X3) = X3 ),
inference(equality_resolution,[],[f90]) ).
fof(f92,plain,
! [X2,X3,X0] :
( big_f(f7(X0),f5(X0))
| f7(X0) = X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
inference(equality_resolution,[],[f49]) ).
fof(f93,plain,
! [X2,X3,X0] :
( big_f(f7(X0),f5(X0))
| f7(X0) = X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
inference(equality_resolution,[],[f51]) ).
fof(f94,plain,
! [X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| big_f(f8(X3),f10(X3))
| f10(X3) = X3 ),
inference(equality_resolution,[],[f55]) ).
fof(f95,plain,
! [X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| big_f(f8(X3),f10(X3))
| f10(X3) = X3 ),
inference(equality_resolution,[],[f61]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| big_f(X2,c4)
| f4(c4) = X2 ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f99,plain,
! [X0,X1] :
( ~ big_f(X0,f1(X0,X1))
| f1(X0,X1) = X1
| c3 = X0
| ~ big_f(f4(c4),c4) ),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f102,plain,
! [X2,X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| big_f(X2,c4)
| f4(c4) = X2 ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f103,plain,
! [X0,X1] :
( big_f(X0,f1(X0,X1))
| f1(X0,X1) != X1
| c3 = X0
| ~ big_f(f4(c4),c4) ),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f104,plain,
! [X2,X3,X1] :
( big_f(c3,X1)
| f2(c3) = X1
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f105,plain,
! [X2,X3,X1] :
( big_f(c3,X1)
| f2(c3) = X1
| big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f106,plain,
! [X2,X1] :
( big_f(c3,X1)
| f2(c3) = X1
| big_f(X2,c4)
| f4(c4) = X2 ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f107,plain,
! [X1] :
( big_f(c3,X1)
| f2(c3) = X1
| ~ big_f(f4(c4),c4) ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f108,plain,
! [X2,X3] :
( ~ big_f(c3,f2(c3))
| ~ big_f(f3(X2,X3),X2)
| f3(X2,X3) = X3
| c4 = X2 ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f109,plain,
! [X2,X3] :
( ~ big_f(c3,f2(c3))
| big_f(f3(X2,X3),X2)
| f3(X2,X3) != X3
| c4 = X2 ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f110,plain,
! [X2] :
( ~ big_f(c3,f2(c3))
| big_f(X2,c4)
| f4(c4) = X2 ),
inference(consistent_polarity_flipping,[],[f83]) ).
fof(f111,plain,
( ~ big_f(c3,f2(c3))
| ~ big_f(f4(c4),c4) ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| f5(X0) = X1
| f7(X0) = X0
| big_f(X2,f10(X3))
| f8(X3) = X2
| f10(X3) = X3 ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f113,plain,
! [X3,X0,X1] :
( big_f(f7(X0),X1)
| f5(X0) = X1
| f7(X0) = X0
| ~ big_f(f8(X3),f10(X3))
| f10(X3) = X3 ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| f5(X0) = X1
| f7(X0) = X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),X1)
| f5(X0) = X1
| f7(X0) = X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f116,plain,
! [X2,X3,X0] :
( ~ big_f(f7(X0),f5(X0))
| f7(X0) = X0
| big_f(X2,f10(X3))
| f8(X3) = X2
| f10(X3) = X3 ),
inference(consistent_polarity_flipping,[],[f89]) ).
fof(f117,plain,
! [X3,X0] :
( ~ big_f(f7(X0),f5(X0))
| f7(X0) = X0
| ~ big_f(f8(X3),f10(X3))
| f10(X3) = X3 ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f118,plain,
! [X2,X3,X0] :
( ~ big_f(f7(X0),f5(X0))
| f7(X0) = X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f119,plain,
! [X2,X3,X0] :
( ~ big_f(f7(X0),f5(X0))
| f7(X0) = X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| big_f(X2,f10(X3))
| f8(X3) = X2
| f10(X3) = X3 ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f121,plain,
! [X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| ~ big_f(f8(X3),f10(X3))
| f10(X3) = X3 ),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f123,plain,
! [X2,X3,X0,X1] :
( ~ big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) = X1
| f7(X0) != X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| big_f(X2,f10(X3))
| f8(X3) = X2
| f10(X3) = X3 ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f125,plain,
! [X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| ~ big_f(f8(X3),f10(X3))
| f10(X3) = X3 ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| ~ big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) = X3
| f10(X2) != X2 ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( big_f(f7(X0),f6(X0,X1))
| f6(X0,X1) != X1
| f7(X0) != X0
| big_f(f9(X2,X3),f10(X2))
| f9(X2,X3) != X3
| f10(X2) != X2 ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f381,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f1,f3,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN076-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n020.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:31:49 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.29 % (249623)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (249632)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2261764292:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (249629)% WARNING: option uhcvi not known.
% 0.20/0.29 % (249628)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=477626688_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (249630)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2032160203:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (249629)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1325301981:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (249631)dis+10_1_sil=32000:sp=arity:random_seed=2561182019:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (249633)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=251486940:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (249634)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2521738261:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % Detected minimum model sizes of [1]
% 0.20/0.29 % Detected maximum model sizes of [2]
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % (249628) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-249623-249628"...
% 0.20/0.29 % (249628)...printing done.
% 0.20/0.29 % (249628)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (249628)------------------------------
% 0.20/0.29 % (249628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (249628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (249628)CaDiCaL version: 2.1.3
% 0.20/0.29 % (249628)Termination reason: Refutation
% 0.20/0.29 % (249628)Time elapsed: 0.011 s
% 0.20/0.29 % (249628)Peak memory usage: 11 MB
% 0.20/0.29 % (249628)Instructions burned: 21 (million)
% 0.20/0.29 % (249623)Success in time 0.05 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------