%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN627-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 12.86s 2.11s
% Output : Proof 12.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 44 unt; 0 def)
% Number of atoms : 96 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-4 aty)
% Number of variables : 76 ( 3 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f19,negated_conjecture,
( ~ p15(X32,c19)
| p3(c24,f4(f7(c17,X32),f14(X32))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
fof(f19_nnf,plain,
! [X32] :
( ~ p15(X32,c19)
| p3(c24,f4(f7(c17,X32),f14(X32))) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X32] :
( ~ p15(X32,c19)
| p3(c24,f4(f7(c17,X32),f14(X32))) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( ~ p15(X0,c19)
| p3(c24,f4(f7(c17,X0),f14(X0))) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(hi18,negated_conjecture,
ifeq(p15(X0,c19),true,p3(c24,f4(f7(c17,X0),f14(X0))),true) = true,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(f6,negated_conjecture,
p15(c18,c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_7) ).
fof(f6_nnf,plain,
p15(c18,c19),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
p15(c18,c19),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,negated_conjecture,
p15(c18,c19) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h3,plain,
p3(c24,f4(f7(c17,c18),f14(c18))) = true,
inference(hyper_resolution,[status(thm)],[hi18,hi6]) ).
cnf(f17,negated_conjecture,
( ~ p3(X40,X42)
| ~ p3(X40,X41)
| p3(X41,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).
fof(f17_nnf,plain,
! [X41,X42,X40] :
( ~ p3(X40,X42)
| ~ p3(X40,X41)
| p3(X41,X42) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X41,X42,X40] :
( ~ p3(X40,X42)
| ~ p3(X40,X41)
| p3(X41,X42) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(hi16,negated_conjecture,
ifeq(p3(X0,X1),true,ifeq(p3(X0,X2),true,p3(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(f4,negated_conjecture,
p3(X40,X40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
fof(f4_nnf,plain,
! [X40] : p3(X40,X40),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X40] : p3(X40,X40),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,negated_conjecture,
p3(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h36,plain,
p3(f4(f7(c17,c18),f14(c18)),c24) = true,
inference(hyper_resolution,[status(thm)],[hi16,h3,hi4]) ).
cnf(f22,negated_conjecture,
( ~ p15(X32,c19)
| p16(c17,c20,f9(c19,X32),f14(X32),c25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).
fof(f22_nnf,plain,
! [X32] :
( ~ p15(X32,c19)
| p16(c17,c20,f9(c19,X32),f14(X32),c25) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X32] :
( ~ p15(X32,c19)
| p16(c17,c20,f9(c19,X32),f14(X32),c25) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ p15(X0,c19)
| p16(c17,c20,f9(c19,X0),f14(X0),c25) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(hi21,negated_conjecture,
ifeq(p15(X0,c19),true,p16(c17,c20,f9(c19,X0),f14(X0),c25),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(h0,plain,
p16(c17,c20,f9(c19,c18),f14(c18),c25) = true,
inference(hyper_resolution,[status(thm)],[hi21,hi6]) ).
cnf(f27,negated_conjecture,
( ~ p16(c17,c20,X4,X5,c22)
| ~ p16(c17,c20,X4,X6,X3)
| p3(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_28) ).
fof(f27_nnf,plain,
! [X5,X6,X4,X3] :
( ~ p16(c17,c20,X4,X5,c22)
| ~ p16(c17,c20,X4,X6,X3)
| p3(X5,X6) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X5,X6,X4,X3] :
( ~ p16(c17,c20,X4,X5,c22)
| ~ p16(c17,c20,X4,X6,X3)
| p3(X5,X6) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ p16(c17,c20,X2,X0,c22)
| ~ p16(c17,c20,X2,X1,X3)
| p3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi26,negated_conjecture,
ifeq(p16(c17,c20,X0,X1,X2),true,ifeq(p16(c17,c20,X0,X3,c22),true,p3(X3,X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(f9,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_10) ).
fof(f9_nnf,plain,
p16(c17,c20,f9(c19,c18),c21,c22),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
p16(c17,c20,f9(c19,c18),c21,c22),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(hi8,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(h64,plain,
p3(c21,f14(c18)) = true,
inference(hyper_resolution,[status(thm)],[hi26,h0,hi8]) ).
cnf(h214,plain,
p3(f14(c18),c21) = true,
inference(hyper_resolution,[status(thm)],[hi16,h64,hi4]) ).
cnf(f26,negated_conjecture,
( ~ p3(X58,X60)
| ~ p2(X57,X59)
| p3(f4(X57,X58),f4(X59,X60)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_27) ).
fof(f26_nnf,plain,
! [X57,X58,X59,X60] :
( ~ p3(X58,X60)
| ~ p2(X57,X59)
| p3(f4(X57,X58),f4(X59,X60)) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X57,X58,X59,X60] :
( ~ p3(X58,X60)
| ~ p2(X57,X59)
| p3(f4(X57,X58),f4(X59,X60)) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(hi25,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p3(X2,X3),true,p3(f4(X0,X2),f4(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(f5,negated_conjecture,
p2(X33,X33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f5_nnf,plain,
! [X33] : p2(X33,X33),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X33] : p2(X33,X33),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi5,negated_conjecture,
p2(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(h266,plain,
p3(f4(V0,f14(c18)),f4(V0,c21)) = true,
inference(hyper_resolution,[status(thm)],[hi25,hi5,h214]) ).
cnf(h760,plain,
p3(f4(f7(c17,c18),c21),c24) = true,
inference(hyper_resolution,[status(thm)],[hi16,h266,h36]) ).
cnf(f8,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
fof(f8_nnf,plain,
p3(c23,f4(f7(c17,c18),c21)),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
p3(c23,f4(f7(c17,c18),c21)),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi7,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h8,plain,
p3(f4(f7(c17,c18),c21),c23) = true,
inference(hyper_resolution,[status(thm)],[hi16,hi7,hi4]) ).
cnf(t11,plain,
p3(c23,c24) = true,
inference(hyper_resolution,[status(thm)],[hi16,h8,h760]) ).
cnf(t461,plain,
p3(c23,c24) = true,
inference(orient,[status(thm)],[t11]) ).
cnf(f7,negated_conjecture,
~ p3(c23,c24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_8) ).
fof(f7_nnf,plain,
~ p3(c23,c24),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
~ p3(c23,c24),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
~ p3(c23,c24),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(goal_0,negated_conjecture,
p3(c23,c24) != true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t461]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN627-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 01:55:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 12.86/2.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.86/2.11 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------