%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 03:35:33 PM UTC 2026
% Result : Unsatisfiable 6.90s 1.61s
% Output : Proof 6.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 36 unt; 0 def)
% Number of atoms : 76 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 38 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 15 con; 0-4 aty)
% Number of variables : 71 ( 6 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f93,negated_conjecture,
( ~ p23(X69,X71)
| ~ p22(X68,X70)
| p24(f25(X68,X69),f25(X70,X71)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_94) ).
fof(f93_nnf,plain,
! [X68,X69,X70,X71] :
( ~ p23(X69,X71)
| ~ p22(X68,X70)
| p24(f25(X68,X69),f25(X70,X71)) ),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
! [X68,X69,X70,X71] :
( ~ p23(X69,X71)
| ~ p22(X68,X70)
| p24(f25(X68,X69),f25(X70,X71)) ),
inference(skolemisation,[status(esa)],[f93_nnf]) ).
cnf(c93,plain,
( ~ p23(X1,X3)
| ~ p22(X0,X2)
| p24(f25(X0,X1),f25(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(hi92,negated_conjecture,
ifeq(p22(X0,X1),true,ifeq(p23(X2,X3),true,p24(f25(X0,X2),f25(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c93]) ).
cnf(f27,negated_conjecture,
p22(X55,X55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_28) ).
fof(f27_nnf,plain,
! [X55] : p22(X55,X55),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X55] : p22(X55,X55),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
p22(X0,X0),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi27,negated_conjecture,
p22(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(f35,negated_conjecture,
p23(c79,c77),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_36) ).
fof(f35_nnf,plain,
p23(c79,c77),
inference(nnf_transformation,[status(thm)],[f35]) ).
cnf(c35,plain,
p23(c79,c77),
inference(cnf_transformation,[status(esa)],[f35_nnf]) ).
cnf(hi35,negated_conjecture,
p23(c79,c77) = true,
inference(equality_encoding,[status(esa)],[c35]) ).
cnf(h1,plain,
p24(f25(V0,c79),f25(V0,c77)) = true,
inference(hyper_resolution,[status(thm)],[hi92,hi27,hi35]) ).
cnf(f83,negated_conjecture,
( ~ p20(X188,X187)
| ~ p60(X189,X188)
| ~ p24(X189,X186)
| p60(X186,X187) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p60_84) ).
fof(f83_nnf,plain,
! [X186,X187,X189,X188] :
( ~ p20(X188,X187)
| ~ p60(X189,X188)
| ~ p24(X189,X186)
| p60(X186,X187) ),
inference(nnf_transformation,[status(thm)],[f83]) ).
fof(f83_sk,plain,
! [X186,X187,X189,X188] :
( ~ p20(X188,X187)
| ~ p60(X189,X188)
| ~ p24(X189,X186)
| p60(X186,X187) ),
inference(skolemisation,[status(esa)],[f83_nnf]) ).
cnf(c83,plain,
( ~ p20(X3,X1)
| ~ p60(X2,X3)
| ~ p24(X2,X0)
| p60(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f83_sk]) ).
cnf(hi82,negated_conjecture,
ifeq(p24(X0,X1),true,ifeq(p60(X0,X2),true,ifeq(p20(X2,X3),true,p60(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c83]) ).
cnf(f41,negated_conjecture,
p60(f25(c75,c79),f21(c76,c78)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p60_42) ).
fof(f41_nnf,plain,
p60(f25(c75,c79),f21(c76,c78)),
inference(nnf_transformation,[status(thm)],[f41]) ).
cnf(c41,plain,
p60(f25(c75,c79),f21(c76,c78)),
inference(cnf_transformation,[status(esa)],[f41_nnf]) ).
cnf(hi41,negated_conjecture,
p60(f25(c75,c79),f21(c76,c78)) = true,
inference(equality_encoding,[status(esa)],[c41]) ).
cnf(f28,negated_conjecture,
p20(X48,X48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_29) ).
fof(f28_nnf,plain,
! [X48] : p20(X48,X48),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X48] : p20(X48,X48),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
p20(X0,X0),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(hi28,negated_conjecture,
p20(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c28]) ).
cnf(h14,plain,
p60(f25(c75,c77),f21(c76,c78)) = true,
inference(hyper_resolution,[status(thm)],[hi82,h1,hi41,hi28]) ).
cnf(f106,negated_conjecture,
( ~ p59(f29(c73,f31(f33(c74,X209),X210)),c72)
| ~ p59(f29(c73,f31(f33(c74,X211),X212)),c72)
| ~ p60(f25(c75,X209),f21(c76,X212)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p60_107) ).
fof(f106_nnf,plain,
! [X209,X212,X211,X210] :
( ~ p59(f29(c73,f31(f33(c74,X209),X210)),c72)
| ~ p59(f29(c73,f31(f33(c74,X211),X212)),c72)
| ~ p60(f25(c75,X209),f21(c76,X212)) ),
inference(nnf_transformation,[status(thm)],[f106]) ).
fof(f106_sk,plain,
! [X209,X212,X211,X210] :
( ~ p59(f29(c73,f31(f33(c74,X209),X210)),c72)
| ~ p59(f29(c73,f31(f33(c74,X211),X212)),c72)
| ~ p60(f25(c75,X209),f21(c76,X212)) ),
inference(skolemisation,[status(esa)],[f106_nnf]) ).
cnf(c106,plain,
( ~ p59(f29(c73,f31(f33(c74,X0),X3)),c72)
| ~ p59(f29(c73,f31(f33(c74,X2),X1)),c72)
| ~ p60(f25(c75,X0),f21(c76,X1)) ),
inference(cnf_transformation,[status(esa)],[f106_sk]) ).
cnf(hi112,negated_conjecture,
ifeq(p60(f25(c75,X0),f21(c76,X1)),true,ifeq(p59(f29(c73,f31(f33(c74,X2),X1)),c72),true,ifeq(p59(f29(c73,f31(f33(c74,X0),X3)),c72),true,false,true),true),true) = true,
inference(equality_encoding,[status(esa)],[c106]) ).
cnf(f43,negated_conjecture,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_44) ).
fof(f43_nnf,plain,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
inference(nnf_transformation,[status(thm)],[f43]) ).
cnf(c43,plain,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
inference(cnf_transformation,[status(esa)],[f43_nnf]) ).
cnf(hi43,negated_conjecture,
p59(f29(c73,f31(f33(c74,c77),c78)),c72) = true,
inference(equality_encoding,[status(esa)],[c43]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi112,h14,hi43,hi43]) ).
cnf(t305,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f44,negated_conjecture,
~ p4(f8(c65,f11(f13(c66,c63),c67)),c80),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_45) ).
fof(f44_nnf,plain,
~ p4(f8(c65,f11(f13(c66,c63),c67)),c80),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
~ p4(f8(c65,f11(f13(c66,c63),c67)),c80),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
~ p4(f8(c65,f11(f13(c66,c63),c67)),c80),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c44,c106]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t305]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n009.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 : Fri Sep 25 02:09:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.90/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.90/1.61 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------