%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN649-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 03:35:24 PM UTC 2026
% Result : Unsatisfiable 12.99s 22.17s
% Output : Proof 12.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 20 unt; 0 def)
% Number of atoms : 72 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 34 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-4 aty)
% Number of variables : 90 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f43,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
| p23(f5(f7(f10(c26,X46),X45),X47),f14(f16(f18(f20(c30,X46),X47),X45),X48)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_44) ).
fof(f43_nnf,plain,
! [X46,X45,X47,X48] :
( ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
| p23(f5(f7(f10(c26,X46),X45),X47),f14(f16(f18(f20(c30,X46),X47),X45),X48)) ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
! [X46,X45,X47,X48] :
( ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
| p23(f5(f7(f10(c26,X46),X45),X47),f14(f16(f18(f20(c30,X46),X47),X45),X48)) ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c43,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3)
| p23(f5(f7(f10(c26,X0),X1),X2),f14(f16(f18(f20(c30,X0),X2),X1),X3)) ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(hi42,negated_conjecture,
ifeq(p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3),true,p23(f5(f7(f10(c26,X0),X1),X2),f14(f16(f18(f20(c30,X0),X2),X1),X3)),true) = true,
inference(equality_encoding,[status(esa)],[c43]) ).
cnf(f25,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_26) ).
fof(f25_nnf,plain,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c25,plain,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(hi25,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(h13,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)) = true,
inference(hyper_resolution,[status(thm)],[hi42,hi25]) ).
cnf(f40,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X50),X49)),X50) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_41) ).
fof(f40_nnf,plain,
! [X50,X49] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X50),X49)),X50) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X50,X49] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X50),X49)),X50) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X0)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X0),X1)),X0) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi39,negated_conjecture,
ifeq(p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),X1),true,p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X1),X0)),X1),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(h45,plain,
p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)) = true,
inference(hyper_resolution,[status(thm)],[hi39,h13]) ).
cnf(f39,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
| p23(f5(X45,f14(f16(f18(f20(c30,X46),X47),X45),X48)),X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_40) ).
fof(f39_nnf,plain,
! [X45,X46,X47,X48] :
( ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
| p23(f5(X45,f14(f16(f18(f20(c30,X46),X47),X45),X48)),X48) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [X45,X46,X47,X48] :
( ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
| p23(f5(X45,f14(f16(f18(f20(c30,X46),X47),X45),X48)),X48) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,X1)),X0),X2),X3)
| p23(f5(X0,f14(f16(f18(f20(c30,X1),X2),X0),X3)),X3) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(hi38,negated_conjecture,
ifeq(p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3),true,p23(f5(X1,f14(f16(f18(f20(c30,X0),X2),X1),X3)),X3),true) = true,
inference(equality_encoding,[status(esa)],[c39]) ).
cnf(h14,plain,
p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi25]) ).
cnf(f41,negated_conjecture,
( ~ p23(f5(f7(f10(c26,X46),X45),X47),X51)
| ~ p23(f5(X45,X51),X48)
| p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_42) ).
fof(f41_nnf,plain,
! [X46,X45,X47,X48,X51] :
( ~ p23(f5(f7(f10(c26,X46),X45),X47),X51)
| ~ p23(f5(X45,X51),X48)
| p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48) ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
! [X46,X45,X47,X48,X51] :
( ~ p23(f5(f7(f10(c26,X46),X45),X47),X51)
| ~ p23(f5(X45,X51),X48)
| p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48) ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c41,plain,
( ~ p23(f5(f7(f10(c26,X0),X1),X2),X4)
| ~ p23(f5(X1,X4),X3)
| p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3) ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(hi40,negated_conjecture,
ifeq(p23(f5(X0,X1),X2),true,ifeq(p23(f5(f7(f10(c26,X3),X0),X4),X1),true,p23(f5(f7(f10(c26,f12(c27,X3)),X0),X4),X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c41]) ).
cnf(h258,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29) = true,
inference(hyper_resolution,[status(thm)],[hi40,h14,h45]) ).
cnf(f38,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50)
| p23(f5(c24,X49),f14(f22(c33,X50),X49)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_39) ).
fof(f38_nnf,plain,
! [X49,X50] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50)
| p23(f5(c24,X49),f14(f22(c33,X50),X49)) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [X49,X50] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50)
| p23(f5(c24,X49),f14(f22(c33,X50),X49)) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),X1)
| p23(f5(c24,X0),f14(f22(c33,X1),X0)) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi37,negated_conjecture,
ifeq(p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),X1),true,p23(f5(c24,X0),f14(f22(c33,X1),X0)),true) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(h47,plain,
p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)) = true,
inference(hyper_resolution,[status(thm)],[hi37,h13]) ).
cnf(f37,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X87),c29)
| ~ p23(f5(c24,c25),X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p23_38) ).
fof(f37_nnf,plain,
! [X87] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X87),c29)
| ~ p23(f5(c24,c25),X87) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [X87] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X87),c29)
| ~ p23(f5(c24,c25),X87) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),c29)
| ~ p23(f5(c24,c25),X0) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(hi43,negated_conjecture,
ifeq(p23(f5(c24,c25),X0),true,ifeq(p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),c29),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c37]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi43,h47,h258]) ).
cnf(t560,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c37]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t560]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN649-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/20.40 % Computer : n010.cluster.edu
% 0.11/20.40 % Model : x86_64 x86_64
% 0.11/20.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/20.40 % Memory : 8046.5625MB
% 0.11/20.40 % OS : Linux 6.8.0-71-generic
% 0.11/20.40 % CPULimit : 300
% 0.11/20.40 % WCLimit : 300
% 0.11/20.40 % DateTime : Fri Sep 25 01:59:50 UTC 2026
% 0.11/20.40 % CPUTime :
% 0.11/20.40 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 12.99/22.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.99/22.17 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------