%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG007-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 5.45s 1.23s
% Output : CNFRefutation 5.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 4 RR)
% Number of literals : 33 ( 32 equ; 3 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 : 81 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
difference(X1,difference(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t3,plain,
difference(X1,difference(X2,X1)) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t2,axiom,
difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2),
inference(orient,[status(thm)],[t2]) ).
cnf(t8,plain,
difference(difference(X1,X2),difference(X3,X1)) = difference(X1,X2),
inference(cp,[status(thm)],[t7,t3]) ).
cnf(t26,plain,
difference(difference(X1,X2),difference(X3,X1)) = difference(X1,X2),
inference(orient,[status(thm)],[t8]) ).
cnf(t1,axiom,
difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
difference(X1,difference(X1,X2)) = difference(X2,difference(X2,X1)),
inference(orient,[status(thm)],[t1]) ).
cnf(t28,plain,
difference(X1,difference(X1,X2)) = difference(difference(X2,difference(X2,X1)),difference(X3,X1)),
inference(cp,[status(thm)],[t26,t5]) ).
cnf(t591,plain,
difference(difference(X1,difference(X1,X2)),difference(X3,X2)) = difference(X2,difference(X2,X1)),
inference(orient,[status(thm)],[t28]) ).
cnf(t605,plain,
difference(X1,difference(X1,X2)) = difference(difference(X2,difference(X3,X1)),difference(X2,X1)),
inference(cp,[status(thm)],[t591,t7]) ).
cnf(t965,plain,
difference(difference(X1,difference(X2,X3)),difference(X1,X3)) = difference(X3,difference(X3,X1)),
inference(orient,[status(thm)],[t605]) ).
cnf(t1045,plain,
difference(X1,difference(X1,difference(X2,difference(X3,X1)))) = difference(difference(X1,difference(X1,X2)),difference(difference(X2,difference(X3,X1)),X1)),
inference(cp,[status(thm)],[t965,t965]) ).
cnf(t1280,plain,
difference(X1,difference(X1,difference(X2,difference(X3,X1)))) = difference(X1,difference(X1,X2)),
inference(step,[status(thm)],[t1045,t26]) ).
cnf(t1082,plain,
difference(X1,difference(X1,difference(X2,difference(X3,X1)))) = difference(X1,difference(X1,X2)),
inference(orient,[status(thm)],[t1280]) ).
cnf(t1109,plain,
difference(X1,difference(X2,difference(X3,X1))) = difference(difference(X1,difference(X2,difference(X3,X1))),difference(X1,difference(X1,X2))),
inference(cp,[status(thm)],[t3,t1082]) ).
cnf(t27,plain,
difference(X1,X2) = difference(X1,difference(X1,difference(X1,X2))),
inference(cp,[status(thm)],[t26,t5]) ).
cnf(t100,plain,
difference(X1,difference(X1,difference(X1,X2))) = difference(X1,X2),
inference(orient,[status(thm)],[t27]) ).
cnf(t107,plain,
difference(difference(X1,X2),difference(X1,difference(X1,X3))) = difference(difference(X1,X3),X2),
inference(cp,[status(thm)],[t7,t100]) ).
cnf(t737,plain,
difference(difference(X1,X2),difference(X1,difference(X1,X3))) = difference(difference(X1,X3),X2),
inference(orient,[status(thm)],[t107]) ).
cnf(t1281,plain,
difference(X1,difference(X2,difference(X3,X1))) = difference(difference(X1,X2),difference(X2,difference(X3,X1))),
inference(step,[status(thm)],[t1109,t737]) ).
cnf(t10,plain,
X1 = difference(X1,difference(difference(X2,X1),X3)),
inference(cp,[status(thm)],[t3,t7]) ).
cnf(t18,plain,
difference(X1,difference(difference(X2,X1),X3)) = X1,
inference(orient,[status(thm)],[t10]) ).
cnf(t20,plain,
difference(X1,X2) = difference(difference(X1,X2),difference(X2,X3)),
inference(cp,[status(thm)],[t18,t3]) ).
cnf(t85,plain,
difference(difference(X1,X2),difference(X2,X3)) = difference(X1,X2),
inference(orient,[status(thm)],[t20]) ).
cnf(t1282,plain,
difference(X1,difference(X2,difference(X3,X1))) = difference(X1,X2),
inference(step,[status(thm)],[t1281,t85]) ).
cnf(t1147,plain,
difference(X1,difference(X2,difference(X3,X1))) = difference(X1,X2),
inference(orient,[status(thm)],[t1282]) ).
cnf(t1161,plain,
difference(difference(X1,X2),X3) = difference(difference(X1,X2),difference(X3,X2)),
inference(cp,[status(thm)],[t1147,t3]) ).
cnf(t1204,plain,
difference(difference(X1,X2),difference(X3,X2)) = difference(difference(X1,X2),X3),
inference(orient,[status(thm)],[t1161]) ).
cnf(goal_0,negated_conjecture,
difference(difference(a,c),difference(b,c)) != difference(difference(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
difference(difference(a,c),b) != difference(difference(a,b),c),
inference(rw,[status(thm)],[goal_0,t1204]) ).
cnf(g0_1,plain,
difference(difference(a,c),b) != difference(difference(a,c),b),
inference(rw,[status(thm)],[g0_0,t7]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG007-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 04:35:43 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.45/1.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.45/1.23 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------