%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 03:35:17 PM UTC 2026
% Result : Unsatisfiable 4.95s 1.28s
% Output : Proof 4.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 30 unt; 0 def)
% Number of atoms : 58 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 45 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f14,negated_conjecture,
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_15) ).
fof(f14_nnf,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi14,negated_conjecture,
ifeq(p10(X0,X1),true,ifeq(p10(X0,X2),true,p10(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(f27,negated_conjecture,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_28) ).
fof(f27_nnf,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c27,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
cnf(hi26,negated_conjecture,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(f0,negated_conjecture,
p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
fof(f0_nnf,plain,
! [X0] : p10(X0,X0),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X0] : p10(X0,X0),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
p10(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,negated_conjecture,
p10(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h0,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) = true,
inference(hyper_resolution,[status(thm)],[hi14,hi26,hi0]) ).
cnf(f22,negated_conjecture,
( ~ p10(X26,X25)
| ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_23) ).
fof(f22_nnf,plain,
! [X24,X25,X27,X26] :
( ~ p10(X26,X25)
| ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X24,X25,X27,X26] :
( ~ p10(X26,X25)
| ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p18(X2,X3)
| p18(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(hi21,negated_conjecture,
ifeq(p18(X0,X1),true,ifeq(p2(X0,X2),true,ifeq(p10(X1,X3),true,p18(X2,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(f19,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_20) ).
fof(f19_nnf,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(nnf_transformation,[status(thm)],[f19]) ).
cnf(c19,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnf_transformation,[status(esa)],[f19_nnf]) ).
cnf(hi19,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)) = true,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(f3,negated_conjecture,
p2(X28,X28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f3_nnf,plain,
! [X28] : p2(X28,X28),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X28] : p2(X28,X28),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,negated_conjecture,
p2(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t16,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) = true,
inference(hyper_resolution,[status(thm)],[hi21,hi19,hi3,h0]) ).
cnf(t103,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) = true,
inference(orient,[status(thm)],[t16]) ).
cnf(f20,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p18_21) ).
fof(f20_nnf,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(goal_0,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) != true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t103]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.51 % Computer : n019.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8046.5625MB
% 0.09/0.51 % OS : Linux 6.8.0-71-generic
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Fri Sep 25 01:50:04 UTC 2026
% 0.09/0.51 % CPUTime :
% 0.09/0.51 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.95/1.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.95/1.28 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------