%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN563-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 03:35:12 PM UTC 2026
% Result : Unsatisfiable 7.66s 6.49s
% Output : CNFRefutation 7.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 15 RR)
% Number of literals : 24 ( 23 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hi6,negated_conjecture,
ifeq2(p6(c7,X27),true,p6(c7,f3(X27)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi1,negated_conjecture,
p6(X22,X22) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h0,plain,
p6(c7,f3(c7)) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi1]) ).
cnf(h2,plain,
p6(c7,f3(f3(c7))) = true,
inference(hyper_resolution,[status(thm)],[hi6,h0]) ).
cnf(hi12,negated_conjecture,
ifeq2(p6(X7,X9),true,ifeq2(p5(X9,X8),true,p5(X7,X8),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi4,negated_conjecture,
p5(f3(f3(X16)),f3(f4(X16))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h183,plain,
p5(c7,f3(f4(c7))) = true,
inference(hyper_resolution,[status(thm)],[hi12,h2,hi4]) ).
cnf(hi7,negated_conjecture,
ifeq2(p5(X10,X11),true,p6(f4(X10),X11),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h186,plain,
p6(f4(c7),f3(f4(c7))) = true,
inference(hyper_resolution,[status(thm)],[hi7,h183]) ).
cnf(hi13,negated_conjecture,
ifeq2(p2(X25,X24),true,ifeq2(p2(X26,X23),true,ifeq2(p6(X26,X25),true,p6(X23,X24),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi0,negated_conjecture,
p2(X0,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi2,negated_conjecture,
p2(f4(c7),f4(c8)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h190,plain,
p6(f4(c8),f3(f4(c7))) = true,
inference(hyper_resolution,[status(thm)],[hi13,hi0,hi2,h186]) ).
cnf(hi10,negated_conjecture,
ifeq2(p2(X0,X2),true,ifeq2(p2(X0,X1),true,p2(X1,X2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h15,plain,
p2(f4(c8),f4(c7)) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi0,hi2]) ).
cnf(hi8,negated_conjecture,
ifeq2(p2(X3,X4),true,p2(f3(X3),f3(X4)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h17,plain,
p2(f3(f4(c7)),f3(f4(c8))) = true,
inference(hyper_resolution,[status(thm)],[hi8,hi2]) ).
cnf(h226,plain,
p6(f4(c7),f3(f4(c8))) = true,
inference(hyper_resolution,[status(thm)],[hi13,h17,h15,h190]) ).
cnf(hi16,negated_conjecture,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t0,plain,
b = a,
inference(hyper_resolution,[status(thm)],[hi16,h226]) ).
cnf(t1981,plain,
a = b,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
b != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
b != b,
inference(rw,[status(thm)],[goal_0,t1981]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN563-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.34 % Computer : n015.cluster.edu
% 0.08/5.34 % Model : x86_64 x86_64
% 0.08/5.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.34 % Memory : 8046.5625MB
% 0.08/5.34 % OS : Linux 6.8.0-71-generic
% 0.08/5.34 % CPULimit : 300
% 0.08/5.34 % WCLimit : 300
% 0.08/5.34 % DateTime : Fri Sep 25 01:48:47 UTC 2026
% 0.08/5.34 % CPUTime :
% 0.08/5.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.66/6.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.66/6.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------