%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN710-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 03:35:32 PM UTC 2026
% Result : Unsatisfiable 14.48s 7.30s
% Output : Proof 14.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 62 ( 46 unt; 0 def)
% Number of atoms : 82 ( 34 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-4 aty)
% Number of variables : 74 ( 9 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f72,negated_conjecture,
( ~ p33(f18(c51,f20(f22(c52,X79),X80)),X80)
| p33(f11(c46,X79),X80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_73) ).
fof(f72_nnf,plain,
! [X79,X80] :
( ~ p33(f18(c51,f20(f22(c52,X79),X80)),X80)
| p33(f11(c46,X79),X80) ),
inference(nnf_transformation,[status(thm)],[f72]) ).
fof(f72_sk,plain,
! [X79,X80] :
( ~ p33(f18(c51,f20(f22(c52,X79),X80)),X80)
| p33(f11(c46,X79),X80) ),
inference(skolemisation,[status(esa)],[f72_nnf]) ).
cnf(c72,plain,
( ~ p33(f18(c51,f20(f22(c52,X0),X1)),X1)
| p33(f11(c46,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f72_sk]) ).
cnf(t90,plain,
ifeq(p33(f18(c51,f20(f22(c52,X1),X2)),X2),true,p33(f11(c46,X1),X2),true) = true,
inference(equality_encoding,[status(esa)],[c72]) ).
cnf(t156,plain,
ifeq(p33(f18(c51,f20(f22(c52,X1),X2)),X2),true,p33(f11(c46,X1),X2),true) = true,
inference(orient,[status(thm)],[t90]) ).
cnf(f79,negated_conjecture,
( ~ p33(f18(c51,X81),X79)
| ~ p33(f11(c46,X79),X80)
| p33(f18(c51,X81),X80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_80) ).
fof(f79_nnf,plain,
! [X81,X80,X79] :
( ~ p33(f18(c51,X81),X79)
| ~ p33(f11(c46,X79),X80)
| p33(f18(c51,X81),X80) ),
inference(nnf_transformation,[status(thm)],[f79]) ).
fof(f79_sk,plain,
! [X81,X80,X79] :
( ~ p33(f18(c51,X81),X79)
| ~ p33(f11(c46,X79),X80)
| p33(f18(c51,X81),X80) ),
inference(skolemisation,[status(esa)],[f79_nnf]) ).
cnf(c79,plain,
( ~ p33(f18(c51,X0),X2)
| ~ p33(f11(c46,X2),X1)
| p33(f18(c51,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(t120,plain,
ifeq(p33(f11(c46,X1),X2),true,ifeq(p33(f18(c51,X3),X1),true,p33(f18(c51,X3),X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c79]) ).
cnf(t157,plain,
ifeq(p33(f11(c46,X1),X2),true,ifeq(p33(f18(c51,X3),X1),true,p33(f18(c51,X3),X2),true),true) = true,
inference(orient,[status(thm)],[t120]) ).
cnf(f49,negated_conjecture,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_50) ).
fof(f49_nnf,plain,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
inference(nnf_transformation,[status(thm)],[f49]) ).
cnf(c49,plain,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
inference(cnf_transformation,[status(esa)],[f49_nnf]) ).
cnf(t52,plain,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)) = true,
inference(equality_encoding,[status(esa)],[c49]) ).
cnf(t341,plain,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)) = true,
inference(orient,[status(thm)],[t52]) ).
cnf(t344,plain,
true = ifeq(true,true,ifeq(p33(f18(c51,X1),f13(f16(c48,c49),c50)),true,p33(f18(c51,X1),f9(c47,c43)),true),true),
inference(cp,[status(thm)],[t157,t341]) ).
cnf(t26,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t141,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t26]) ).
cnf(t1351,plain,
true = ifeq(p33(f18(c51,X1),f13(f16(c48,c49),c50)),true,p33(f18(c51,X1),f9(c47,c43)),true),
inference(step,[status(thm)],[t344,t141]) ).
cnf(t1143,plain,
ifeq(p33(f18(c51,X1),f13(f16(c48,c49),c50)),true,p33(f18(c51,X1),f9(c47,c43)),true) = true,
inference(orient,[status(thm)],[t1351]) ).
cnf(f74,negated_conjecture,
( ~ p33(f18(c51,X13),X15)
| p33(f18(c51,X13),f13(f16(c48,X14),X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_75) ).
fof(f74_nnf,plain,
! [X13,X14,X15] :
( ~ p33(f18(c51,X13),X15)
| p33(f18(c51,X13),f13(f16(c48,X14),X15)) ),
inference(nnf_transformation,[status(thm)],[f74]) ).
fof(f74_sk,plain,
! [X13,X14,X15] :
( ~ p33(f18(c51,X13),X15)
| p33(f18(c51,X13),f13(f16(c48,X14),X15)) ),
inference(skolemisation,[status(esa)],[f74_nnf]) ).
cnf(c74,plain,
( ~ p33(f18(c51,X0),X2)
| p33(f18(c51,X0),f13(f16(c48,X1),X2)) ),
inference(cnf_transformation,[status(esa)],[f74_sk]) ).
cnf(t89,plain,
ifeq(p33(f18(c51,X1),X2),true,p33(f18(c51,X1),f13(f16(c48,X3),X2)),true) = true,
inference(equality_encoding,[status(esa)],[c74]) ).
cnf(t153,plain,
ifeq(p33(f18(c51,X1),X2),true,p33(f18(c51,X1),f13(f16(c48,X3),X2)),true) = true,
inference(orient,[status(thm)],[t89]) ).
cnf(f71,negated_conjecture,
( p33(f18(c51,f20(f22(c52,X79),X80)),X79)
| p33(f11(c46,X79),X80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_72) ).
fof(f71_nnf,plain,
! [X79,X80] :
( p33(f18(c51,f20(f22(c52,X79),X80)),X79)
| p33(f11(c46,X79),X80) ),
inference(nnf_transformation,[status(thm)],[f71]) ).
fof(f71_sk,plain,
! [X79,X80] :
( p33(f18(c51,f20(f22(c52,X79),X80)),X79)
| p33(f11(c46,X79),X80) ),
inference(skolemisation,[status(esa)],[f71_nnf]) ).
cnf(c71,plain,
( p33(f18(c51,f20(f22(c52,X0),X1)),X0)
| p33(f11(c46,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
cnf(t85,plain,
or(p33(f11(c46,X1),X2),p33(f18(c51,f20(f22(c52,X1),X2)),X1)) = true,
inference(equality_encoding,[status(esa)],[c71]) ).
cnf(t384,plain,
or(p33(f11(c46,X1),X2),p33(f18(c51,f20(f22(c52,X1),X2)),X1)) = true,
inference(orient,[status(thm)],[t85]) ).
cnf(f24,negated_conjecture,
~ p33(f11(c46,c50),f9(c47,c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p33_25) ).
fof(f24_nnf,plain,
~ p33(f11(c46,c50),f9(c47,c43)),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
~ p33(f11(c46,c50),f9(c47,c43)),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
~ p33(f11(c46,c50),f9(c47,c43)),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(t32,plain,
p33(f11(c46,c50),f9(c47,c43)) = false,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(t602,plain,
p33(f11(c46,c50),f9(c47,c43)) = false,
inference(orient,[status(thm)],[t32]) ).
cnf(t607,plain,
true = or(false,p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),c50)),
inference(cp,[status(thm)],[t384,t602]) ).
cnf(t2,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t143,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t1228,plain,
true = p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),c50),
inference(step,[status(thm)],[t607,t143]) ).
cnf(t680,plain,
p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),c50) = true,
inference(orient,[status(thm)],[t1228]) ).
cnf(t687,plain,
true = ifeq(true,true,p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f13(f16(c48,X1),c50)),true),
inference(cp,[status(thm)],[t153,t680]) ).
cnf(t1312,plain,
true = p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f13(f16(c48,X1),c50)),
inference(step,[status(thm)],[t687,t141]) ).
cnf(t1025,plain,
p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f13(f16(c48,X1),c50)) = true,
inference(orient,[status(thm)],[t1312]) ).
cnf(t1144,plain,
true = ifeq(true,true,p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f9(c47,c43)),true),
inference(cp,[status(thm)],[t1143,t1025]) ).
cnf(t1352,plain,
true = p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f9(c47,c43)),
inference(step,[status(thm)],[t1144,t141]) ).
cnf(t1145,plain,
p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f9(c47,c43)) = true,
inference(orient,[status(thm)],[t1352]) ).
cnf(t1155,plain,
true = ifeq(true,true,p33(f11(c46,c50),f9(c47,c43)),true),
inference(cp,[status(thm)],[t156,t1145]) ).
cnf(t1355,plain,
true = p33(f11(c46,c50),f9(c47,c43)),
inference(step,[status(thm)],[t1155,t141]) ).
cnf(t1356,plain,
true = false,
inference(step,[status(thm)],[t1355,t602]) ).
cnf(t1157,plain,
false = true,
inference(orient,[status(thm)],[t1356]) ).
cnf(f21,negated_conjecture,
~ p7(c43,c44),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p7_22) ).
fof(f21_nnf,plain,
~ p7(c43,c44),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
~ p7(c43,c44),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
~ p7(c43,c44),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c21,c24]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1157]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN710-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.37 % Computer : n010.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Fri Sep 25 02:09:19 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.48/7.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.48/7.30 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------