%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG006-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 12:51:10 PM UTC 2026
% Result : Unsatisfiable 8.22s 1.68s
% Output : CNFRefutation 8.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 4
% Syntax : Number of clauses : 52 ( 52 unt; 0 nHn; 3 RR)
% Number of literals : 52 ( 51 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 119 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
difference(X1,difference(X2,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t3,plain,
difference(X1,difference(X2,X1)) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t1,axiom,
difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)),
inference(orient,[status(thm)],[t1]) ).
cnf(t4,plain,
difference(X1,X2) = difference(difference(X1,X2),X2),
inference(cp,[status(thm)],[t3,t3]) ).
cnf(t16,plain,
difference(difference(X1,X2),X2) = difference(X1,X2),
inference(orient,[status(thm)],[t4]) ).
cnf(t20,plain,
difference(X1,difference(X1,difference(X2,X1))) = difference(difference(X2,X1),difference(X2,X1)),
inference(cp,[status(thm)],[t5,t16]) ).
cnf(t781,plain,
difference(X1,X1) = difference(difference(X2,X1),difference(X2,X1)),
inference(step,[status(thm)],[t20,t3]) ).
cnf(t2,axiom,
difference(difference(X1,X2),difference(X3,X2)) = difference(difference(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
difference(difference(X1,X2),difference(X3,X2)) = difference(difference(X1,X3),X2),
inference(orient,[status(thm)],[t2]) ).
cnf(t782,plain,
difference(X1,X1) = difference(difference(X2,X2),X1),
inference(step,[status(thm)],[t781,t7]) ).
cnf(t21,plain,
difference(X1,X1) = difference(difference(X2,X2),X1),
inference(orient,[status(thm)],[t782]) ).
cnf(t28,plain,
difference(difference(X1,X1),difference(X2,X2)) = difference(difference(X2,X2),difference(X2,X2)),
inference(cp,[status(thm)],[t21,t21]) ).
cnf(t786,plain,
difference(difference(X1,X1),difference(X2,X2)) = difference(difference(X2,X2),X2),
inference(step,[status(thm)],[t28,t7]) ).
cnf(t787,plain,
difference(difference(X1,X1),difference(X2,X2)) = difference(X2,X2),
inference(step,[status(thm)],[t786,t16]) ).
cnf(t61,plain,
difference(difference(X1,X1),difference(X2,X2)) = difference(X2,X2),
inference(orient,[status(thm)],[t787]) ).
cnf(t70,plain,
difference(difference(X1,X1),difference(difference(X1,X1),difference(X2,X2))) = difference(difference(X2,X2),difference(X1,X1)),
inference(cp,[status(thm)],[t5,t61]) ).
cnf(t788,plain,
difference(difference(X1,X1),difference(X2,X2)) = difference(difference(X2,X2),difference(X1,X1)),
inference(step,[status(thm)],[t70,t61]) ).
cnf(t789,plain,
difference(X2,X2) = difference(difference(X2,X2),difference(X1,X1)),
inference(step,[status(thm)],[t788,t61]) ).
cnf(t790,plain,
difference(X2,X2) = difference(X1,X1),
inference(step,[status(thm)],[t789,t61]) ).
cnf(t72,plain,
difference(X1,X1) = difference(X2,X2),
inference(orient,[status(thm)],[t790]) ).
cnf(t78,plain,
X1 = difference(X1,difference(X2,X2)),
inference(cp,[status(thm)],[t3,t72]) ).
cnf(t87,plain,
difference(X1,difference(X2,X2)) = X1,
inference(orient,[status(thm)],[t78]) ).
cnf(t94,plain,
difference(X1,X1) = difference(difference(X1,X1),X2),
inference(cp,[status(thm)],[t3,t87]) ).
cnf(t99,plain,
difference(difference(X1,X1),X2) = difference(X1,X1),
inference(orient,[status(thm)],[t94]) ).
cnf(t100,plain,
difference(X1,X1) = difference(difference(X1,X2),X1),
inference(cp,[status(thm)],[t99,t7]) ).
cnf(t108,plain,
difference(difference(X1,X2),X1) = difference(X1,X1),
inference(orient,[status(thm)],[t100]) ).
cnf(t113,plain,
difference(X1,difference(X1,difference(X1,X2))) = difference(difference(X1,X2),difference(X1,X1)),
inference(cp,[status(thm)],[t5,t108]) ).
cnf(t797,plain,
difference(X1,difference(X1,difference(X1,X2))) = difference(X1,X2),
inference(step,[status(thm)],[t113,t87]) ).
cnf(t140,plain,
difference(X1,difference(X1,difference(X1,X2))) = difference(X1,X2),
inference(orient,[status(thm)],[t797]) ).
cnf(t112,plain,
difference(difference(X1,difference(X2,X3)),X2) = difference(difference(X1,X2),difference(X2,X2)),
inference(cp,[status(thm)],[t7,t108]) ).
cnf(t795,plain,
difference(difference(X1,difference(X2,X3)),X2) = difference(difference(X1,X2),X2),
inference(step,[status(thm)],[t112,t7]) ).
cnf(t796,plain,
difference(difference(X1,difference(X2,X3)),X2) = difference(X1,X2),
inference(step,[status(thm)],[t795,t16]) ).
cnf(t125,plain,
difference(difference(X1,difference(X2,X3)),X2) = difference(X1,X2),
inference(orient,[status(thm)],[t796]) ).
cnf(t132,plain,
difference(difference(X1,difference(X2,X3)),difference(X1,difference(X2,X3))) = difference(difference(X1,X2),difference(X1,difference(X2,X3))),
inference(cp,[status(thm)],[t108,t125]) ).
cnf(t806,plain,
difference(difference(X1,X1),difference(X2,X3)) = difference(difference(X1,X2),difference(X1,difference(X2,X3))),
inference(step,[status(thm)],[t132,t7]) ).
cnf(t807,plain,
difference(X1,X1) = difference(difference(X1,X2),difference(X1,difference(X2,X3))),
inference(step,[status(thm)],[t806,t99]) ).
cnf(t461,plain,
difference(difference(X1,X2),difference(X1,difference(X2,X3))) = difference(X1,X1),
inference(orient,[status(thm)],[t807]) ).
cnf(t464,plain,
difference(X1,X1) = difference(X1,difference(X1,difference(difference(X2,X1),X3))),
inference(cp,[status(thm)],[t461,t3]) ).
cnf(t548,plain,
difference(X1,difference(X1,difference(difference(X2,X1),X3))) = difference(X1,X1),
inference(orient,[status(thm)],[t464]) ).
cnf(t568,plain,
difference(X1,difference(difference(X2,X1),X3)) = difference(X1,difference(X1,X1)),
inference(cp,[status(thm)],[t140,t548]) ).
cnf(t809,plain,
difference(X1,difference(difference(X2,X1),X3)) = X1,
inference(step,[status(thm)],[t568,t87]) ).
cnf(t574,plain,
difference(X1,difference(difference(X2,X1),X3)) = X1,
inference(orient,[status(thm)],[t809]) ).
cnf(t588,plain,
difference(difference(X1,X2),X3) = difference(difference(difference(X1,X2),X3),X2),
inference(cp,[status(thm)],[t3,t574]) ).
cnf(t18,plain,
difference(difference(difference(X1,X2),X3),X2) = difference(difference(X1,X2),difference(X3,X2)),
inference(cp,[status(thm)],[t7,t16]) ).
cnf(t801,plain,
difference(difference(difference(X1,X2),X3),X2) = difference(difference(X1,X3),X2),
inference(step,[status(thm)],[t18,t7]) ).
cnf(t179,plain,
difference(difference(difference(X1,X2),X3),X2) = difference(difference(X1,X3),X2),
inference(orient,[status(thm)],[t801]) ).
cnf(t814,plain,
difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2),
inference(step,[status(thm)],[t588,t179]) ).
cnf(t735,plain,
difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2),
inference(orient,[status(thm)],[t814]) ).
cnf(goal_0,negated_conjecture,
difference(difference(a,c),b) != difference(difference(a,b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
difference(difference(a,c),b) != difference(difference(a,c),b),
inference(rw,[status(thm)],[goal_0,t735]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG006-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.46 % Computer : n026.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Fri Sep 25 04:33:25 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.22/1.68 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.22/1.68 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------