%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 03:35:11 PM UTC 2026
% Result : Unsatisfiable 4.15s 0.91s
% Output : Proof 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 26 unt; 0 def)
% Number of atoms : 50 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 41 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f7,negated_conjecture,
( ~ p4(X12,X14)
| ~ p4(X12,X13)
| p4(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_8) ).
fof(f7_nnf,plain,
! [X13,X14,X12] :
( ~ p4(X12,X14)
| ~ p4(X12,X13)
| p4(X13,X14) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X13,X14,X12] :
( ~ p4(X12,X14)
| ~ p4(X12,X13)
| p4(X13,X14) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi6,negated_conjecture,
ifeq(p4(X0,X1),true,ifeq(p4(X0,X2),true,p4(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(f5,negated_conjecture,
p4(f5(c7,X24,c8),f5(c7,X24,c9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_6) ).
fof(f5_nnf,plain,
! [X24] : p4(f5(c7,X24,c8),f5(c7,X24,c9)),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X24] : p4(f5(c7,X24,c8),f5(c7,X24,c9)),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
p4(f5(c7,X0,c8),f5(c7,X0,c9)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi4,negated_conjecture,
p4(f5(c7,X0,c8),f5(c7,X0,c9)) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(f1,negated_conjecture,
p4(X12,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).
fof(f1_nnf,plain,
! [X12] : p4(X12,X12),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X12] : p4(X12,X12),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,negated_conjecture,
p4(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h1,plain,
p4(f5(c7,V0,c9),f5(c7,V0,c8)) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi4,hi1]) ).
cnf(f11,negated_conjecture,
( ~ p4(f5(c7,f6(X21,X23,X22),X23),f5(c7,f6(X21,X23,X22),X22))
| ~ p4(f5(c7,X21,X23),X23)
| p4(f5(c7,X21,X22),X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_12) ).
fof(f11_nnf,plain,
! [X21,X22,X23] :
( ~ p4(f5(c7,f6(X21,X23,X22),X23),f5(c7,f6(X21,X23,X22),X22))
| ~ p4(f5(c7,X21,X23),X23)
| p4(f5(c7,X21,X22),X22) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X21,X22,X23] :
( ~ p4(f5(c7,f6(X21,X23,X22),X23),f5(c7,f6(X21,X23,X22),X22))
| ~ p4(f5(c7,X21,X23),X23)
| p4(f5(c7,X21,X22),X22) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ p4(f5(c7,f6(X0,X2,X1),X2),f5(c7,f6(X0,X2,X1),X1))
| ~ p4(f5(c7,X0,X2),X2)
| p4(f5(c7,X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi10,negated_conjecture,
ifeq(p4(f5(c7,X0,X1),X1),true,ifeq(p4(f5(c7,f6(X0,X1,X2),X1),f5(c7,f6(X0,X1,X2),X2)),true,p4(f5(c7,X0,X2),X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(f3,negated_conjecture,
p4(f5(c7,c10,c9),c9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
fof(f3_nnf,plain,
p4(f5(c7,c10,c9),c9),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
p4(f5(c7,c10,c9),c9),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(hi3,negated_conjecture,
p4(f5(c7,c10,c9),c9) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t5,plain,
p4(f5(c7,c10,c8),c8) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi3,h1]) ).
cnf(t20,plain,
p4(f5(c7,c10,c8),c8) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(f4,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_5) ).
fof(f4_nnf,plain,
~ p4(f5(c7,c10,c8),c8),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
~ p4(f5(c7,c10,c8),c8),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
~ p4(f5(c7,c10,c8),c8),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(goal_0,negated_conjecture,
p4(f5(c7,c10,c8),c8) != true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t20]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.34 % Computer : n001.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Fri Sep 25 01:49:38 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.15/0.91 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.15/0.91 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------