%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN714-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 03:35:32 PM UTC 2026
% Result : Unsatisfiable 17.63s 2.70s
% Output : Proof 17.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 73 ( 61 unt; 0 def)
% Number of atoms : 101 ( 43 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 62 ( 34 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 59 ( 12 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f97,negated_conjecture,
( ~ p52(f20(f21(c62,c64)),X15)
| ~ p50(X15,X16,c62)
| ~ p51(X15,X16)
| p50(X15,X16,c60)
| p16(f17(X15),c65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_98) ).
fof(f97_nnf,plain,
! [X15,X16] :
( ~ p52(f20(f21(c62,c64)),X15)
| ~ p50(X15,X16,c62)
| ~ p51(X15,X16)
| p50(X15,X16,c60)
| p16(f17(X15),c65) ),
inference(nnf_transformation,[status(thm)],[f97]) ).
fof(f97_sk,plain,
! [X15,X16] :
( ~ p52(f20(f21(c62,c64)),X15)
| ~ p50(X15,X16,c62)
| ~ p51(X15,X16)
| p50(X15,X16,c60)
| p16(f17(X15),c65) ),
inference(skolemisation,[status(esa)],[f97_nnf]) ).
cnf(c97,plain,
( ~ p52(f20(f21(c62,c64)),X0)
| ~ p50(X0,X1,c62)
| ~ p51(X0,X1)
| p50(X0,X1,c60)
| p16(f17(X0),c65) ),
inference(cnf_transformation,[status(esa)],[f97_sk]) ).
cnf(t105,plain,
ifeq(p51(X1,X2),true,ifeq(p50(X1,X2,c62),true,ifeq(p52(f20(f21(c62,c64)),X1),true,or(p16(f17(X1),c65),p50(X1,X2,c60)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c97]) ).
cnf(t178,plain,
ifeq(p51(X1,X2),true,ifeq(p50(X1,X2,c62),true,ifeq(p52(f20(f21(c62,c64)),X1),true,or(p16(f17(X1),c65),p50(X1,X2,c60)),true),true),true) = true,
inference(orient,[status(thm)],[t105]) ).
cnf(f63,negated_conjecture,
( ~ p53(X160,f17(c66))
| p50(c66,f25(f27(c59,X160),c67),c62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p50_64) ).
fof(f63_nnf,plain,
! [X160] :
( ~ p53(X160,f17(c66))
| p50(c66,f25(f27(c59,X160),c67),c62) ),
inference(nnf_transformation,[status(thm)],[f63]) ).
fof(f63_sk,plain,
! [X160] :
( ~ p53(X160,f17(c66))
| p50(c66,f25(f27(c59,X160),c67),c62) ),
inference(skolemisation,[status(esa)],[f63_nnf]) ).
cnf(c63,plain,
( ~ p53(X0,f17(c66))
| p50(c66,f25(f27(c59,X0),c67),c62) ),
inference(cnf_transformation,[status(esa)],[f63_sk]) ).
cnf(t69,plain,
ifeq(p53(X1,f17(c66)),true,p50(c66,f25(f27(c59,X1),c67),c62),true) = true,
inference(equality_encoding,[status(esa)],[c63]) ).
cnf(t187,plain,
ifeq(p53(X1,f17(c66)),true,p50(c66,f25(f27(c59,X1),c67),c62),true) = true,
inference(orient,[status(thm)],[t69]) ).
cnf(f22,negated_conjecture,
p53(c68,f17(c66)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p53_23) ).
fof(f22_nnf,plain,
p53(c68,f17(c66)),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
p53(c68,f17(c66)),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(t27,plain,
p53(c68,f17(c66)) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(t406,plain,
p53(c68,f17(c66)) = true,
inference(orient,[status(thm)],[t27]) ).
cnf(t407,plain,
true = ifeq(true,true,p50(c66,f25(f27(c59,c68),c67),c62),true),
inference(cp,[status(thm)],[t187,t406]) ).
cnf(t28,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t112,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t28]) ).
cnf(t1389,plain,
true = p50(c66,f25(f27(c59,c68),c67),c62),
inference(step,[status(thm)],[t407,t112]) ).
cnf(t459,plain,
p50(c66,f25(f27(c59,c68),c67),c62) = true,
inference(orient,[status(thm)],[t1389]) ).
cnf(t462,plain,
true = ifeq(p51(c66,f25(f27(c59,c68),c67)),true,ifeq(true,true,ifeq(p52(f20(f21(c62,c64)),c66),true,or(p16(f17(c66),c65),p50(c66,f25(f27(c59,c68),c67),c60)),true),true),true),
inference(cp,[status(thm)],[t178,t459]) ).
cnf(t1454,plain,
true = ifeq(p51(c66,f25(f27(c59,c68),c67)),true,ifeq(p52(f20(f21(c62,c64)),c66),true,or(p16(f17(c66),c65),p50(c66,f25(f27(c59,c68),c67),c60)),true),true),
inference(step,[status(thm)],[t462,t112]) ).
cnf(f27,negated_conjecture,
p52(f20(f21(c62,c64)),c66),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p52_28) ).
fof(f27_nnf,plain,
p52(f20(f21(c62,c64)),c66),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c27,plain,
p52(f20(f21(c62,c64)),c66),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
cnf(t33,plain,
p52(f20(f21(c62,c64)),c66) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(t402,plain,
p52(f20(f21(c62,c64)),c66) = true,
inference(orient,[status(thm)],[t33]) ).
cnf(t1455,plain,
true = ifeq(p51(c66,f25(f27(c59,c68),c67)),true,ifeq(true,true,or(p16(f17(c66),c65),p50(c66,f25(f27(c59,c68),c67),c60)),true),true),
inference(step,[status(thm)],[t1454,t402]) ).
cnf(t1456,plain,
true = ifeq(p51(c66,f25(f27(c59,c68),c67)),true,or(p16(f17(c66),c65),p50(c66,f25(f27(c59,c68),c67),c60)),true),
inference(step,[status(thm)],[t1455,t112]) ).
cnf(f23,negated_conjecture,
~ p16(f17(c66),c65),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p16_24) ).
fof(f23_nnf,plain,
~ p16(f17(c66),c65),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
~ p16(f17(c66),c65),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
~ p16(f17(c66),c65),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(t26,plain,
p16(f17(c66),c65) = false,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t220,plain,
p16(f17(c66),c65) = false,
inference(orient,[status(thm)],[t26]) ).
cnf(t1457,plain,
true = ifeq(p51(c66,f25(f27(c59,c68),c67)),true,or(false,p50(c66,f25(f27(c59,c68),c67),c60)),true),
inference(step,[status(thm)],[t1456,t220]) ).
cnf(t4,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t114,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t1458,plain,
true = ifeq(p51(c66,f25(f27(c59,c68),c67)),true,p50(c66,f25(f27(c59,c68),c67),c60),true),
inference(step,[status(thm)],[t1457,t114]) ).
cnf(f32,negated_conjecture,
~ p50(c66,f25(f27(c59,c68),c67),c60),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p50_33) ).
fof(f32_nnf,plain,
~ p50(c66,f25(f27(c59,c68),c67),c60),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
~ p50(c66,f25(f27(c59,c68),c67),c60),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
~ p50(c66,f25(f27(c59,c68),c67),c60),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(t36,plain,
p50(c66,f25(f27(c59,c68),c67),c60) = false,
inference(equality_encoding,[status(esa)],[c32]) ).
cnf(t348,plain,
p50(c66,f25(f27(c59,c68),c67),c60) = false,
inference(orient,[status(thm)],[t36]) ).
cnf(t1459,plain,
true = ifeq(p51(c66,f25(f27(c59,c68),c67)),true,false,true),
inference(step,[status(thm)],[t1458,t348]) ).
cnf(t721,plain,
ifeq(p51(c66,f25(f27(c59,c68),c67)),true,false,true) = true,
inference(orient,[status(thm)],[t1459]) ).
cnf(f86,negated_conjecture,
( ~ p53(X167,f17(X165))
| ~ p51(X165,X168)
| p51(X165,f25(f27(X166,X167),X168)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p51_87) ).
fof(f86_nnf,plain,
! [X165,X166,X167,X168] :
( ~ p53(X167,f17(X165))
| ~ p51(X165,X168)
| p51(X165,f25(f27(X166,X167),X168)) ),
inference(nnf_transformation,[status(thm)],[f86]) ).
fof(f86_sk,plain,
! [X165,X166,X167,X168] :
( ~ p53(X167,f17(X165))
| ~ p51(X165,X168)
| p51(X165,f25(f27(X166,X167),X168)) ),
inference(skolemisation,[status(esa)],[f86_nnf]) ).
cnf(c86,plain,
( ~ p53(X2,f17(X0))
| ~ p51(X0,X3)
| p51(X0,f25(f27(X1,X2),X3)) ),
inference(cnf_transformation,[status(esa)],[f86_sk]) ).
cnf(t82,plain,
ifeq(p51(X1,X2),true,ifeq(p53(X3,f17(X1)),true,p51(X1,f25(f27(X4,X3),X2)),true),true) = true,
inference(equality_encoding,[status(esa)],[c86]) ).
cnf(t179,plain,
ifeq(p51(X1,X2),true,ifeq(p53(X3,f17(X1)),true,p51(X1,f25(f27(X4,X3),X2)),true),true) = true,
inference(orient,[status(thm)],[t82]) ).
cnf(t410,plain,
true = ifeq(p51(c66,X1),true,ifeq(true,true,p51(c66,f25(f27(X2,c68),X1)),true),true),
inference(cp,[status(thm)],[t179,t406]) ).
cnf(t1535,plain,
true = ifeq(p51(c66,X1),true,p51(c66,f25(f27(X2,c68),X1)),true),
inference(step,[status(thm)],[t410,t112]) ).
cnf(t1361,plain,
ifeq(p51(c66,X1),true,p51(c66,f25(f27(X2,c68),X1)),true) = true,
inference(orient,[status(thm)],[t1535]) ).
cnf(f21,negated_conjecture,
p51(c66,c67),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p51_22) ).
fof(f21_nnf,plain,
p51(c66,c67),
inference(nnf_transformation,[status(thm)],[f21]) ).
cnf(c21,plain,
p51(c66,c67),
inference(cnf_transformation,[status(esa)],[f21_nnf]) ).
cnf(t24,plain,
p51(c66,c67) = true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(t397,plain,
p51(c66,c67) = true,
inference(orient,[status(thm)],[t24]) ).
cnf(t1362,plain,
true = ifeq(true,true,p51(c66,f25(f27(X1,c68),c67)),true),
inference(cp,[status(thm)],[t1361,t397]) ).
cnf(t1536,plain,
true = p51(c66,f25(f27(X1,c68),c67)),
inference(step,[status(thm)],[t1362,t112]) ).
cnf(t1363,plain,
p51(c66,f25(f27(X1,c68),c67)) = true,
inference(orient,[status(thm)],[t1536]) ).
cnf(t1537,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t721,t1363]) ).
cnf(t1538,plain,
false = true,
inference(step,[status(thm)],[t1537,t112]) ).
cnf(t1369,plain,
false = true,
inference(rw,[status(thm)],[t1538]) ).
cnf(t1370,plain,
false = true,
inference(orient,[status(thm)],[t1369]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c23,c32]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1370]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN714-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 02:09:31 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.63/2.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.63/2.70 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------