%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM386+1 : TPTP v9.3.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n012.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 : Sun Sep 27 08:12:38 AM UTC 2026 % Result : Theorem 23.62s 8.56s % Output : CNFRefutation 23.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : NUM386+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.04/5.50 % Computer : n012.cluster.edu % 0.04/5.50 % Model : x86_64 x86_64 % 0.04/5.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.04/5.50 % Memory : 8046.5625MB % 0.04/5.50 % OS : Linux 6.8.0-71-generic % 0.00/5.50 % CPULimit : 300 % 0.00/5.50 % WCLimit : 300 % 0.00/5.50 % DateTime : Sat Sep 26 02:37:55 UTC 2026 % 0.00/5.50 % CPUTime : % 0.00/5.50 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 23.62/8.56 % SZS status Theorem for theBenchmark.p % 23.62/8.56 % SZS output start CNFRefutation for theBenchmark.p % 23.62/8.56 fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0)). % 23.62/8.56 fof(d1_ordinal1, axiom, ! [X0] : succ(X0) = 'set$uunion2'(X0,singleton(X0))). % 23.62/8.56 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))). % 23.62/8.56 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))). % 23.62/8.56 fof(t13_ordinal1, conjecture, ! [X0] : ! [X1] : ((in(X0,succ(X1)) <=> (in(X0,X1) | X0 = X1)))). % 23.62/8.56 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((in(X0,succ(X1)) <=> (in(X0,X1) | X0 = X1))), inference(negate_conjecture, [status(cth)], [t13_ordinal1])). % 23.62/8.56 cnf(c6, plain, 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])). % 23.62/8.56 cnf(c7, plain, succ(X0) = 'set$uunion2'(X0,singleton(X0)), inference(clausification, [status(esa)], [d1_ordinal1])). % 23.62/8.56 cnf(c8, plain, X0 != singleton(X1) | ~in(X2,X0) | X2 = X1, inference(clausification, [status(esa)], [d1_tarski])). % 23.62/8.56 cnf(c9, plain, X0 != singleton(X1) | in(X2,X0) | X2 != X1, inference(clausification, [status(esa)], [d1_tarski])). % 23.62/8.56 cnf(c14, plain, X0 != 'set$uunion2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])). % 23.62/8.56 cnf(c16, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1) | in(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])). % 23.62/8.56 cnf(c17, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1), inference(clausification, [status(esa)], [d2_xboole_0])). % 23.62/8.56 cnf(c66, plain, in(sK49,succ(sK50)) | in(sK49,sK50) | sK49 = sK50, inference(clausification, [status(esa)], [negated_conjecture])). % 23.62/8.56 cnf(c67, plain, ~in(sK49,sK50) | ~in(sK49,succ(sK50)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.62/8.56 cnf(c69, plain, sK49 != sK50 | ~in(sK49,succ(sK50)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.62/8.56 cnf(d0, plain, X0 = X1 | ~in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c8])). % 23.62/8.56 cnf(d1, plain, 'Ts12'(X0,X1,'set$uunion2'(X0,X1)), inference(equality_resolution, [status(thm)], [c14])). % 23.62/8.56 cnf(d2, plain, 'Ts12'(X0,singleton(X0),succ(X0)), inference(superposition, [status(thm)], [c7,d1])). % 23.62/8.56 cnf(d3, plain, in(X0,succ(X1)) | ~in(X0,X1), inference(resolution, [status(thm)], [c17,d2])). % 23.62/8.56 cnf(d4, plain, ~in(sK49,sK50) | ~in(sK49,sK50), inference(resolution, [status(thm)], [d3,c67])). % 23.62/8.56 cnf(d5, plain, sK49 = sK50 | in(sK49,succ(sK50)), inference(resolution, [status(thm)], [d4,c66])). % 23.62/8.56 cnf(d6, plain, in(X0,singleton(X1)) | in(X0,X1) | ~in(X0,succ(X1)), inference(resolution, [status(thm)], [c16,d2])). % 23.62/8.56 cnf(d7, plain, in(sK49,sK50) | in(sK49,singleton(sK50)) | sK49 = sK50, inference(resolution, [status(thm)], [d6,d5])). % 23.62/8.56 cnf(d8, plain, sK49 = sK50 | in(sK49,singleton(sK50)), inference(resolution, [status(thm)], [d4,d7])). % 23.62/8.56 cnf(d9, plain, sK49 = sK50 | sK49 = sK50, inference(resolution, [status(thm)], [d8,d0])). % 23.62/8.56 cnf(d10, plain, ~in(sK49,succ(sK50)), inference(resolution, [status(thm)], [d9,c69])). % 23.62/8.56 cnf(d11, plain, ~in(sK49,succ(sK49)), inference(demodulation, [status(thm)], [d10,d9])). % 23.62/8.56 cnf(d12, plain, X0 != X1 | in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c9])). % 23.62/8.56 cnf(d13, plain, in(X0,singleton(X0)), inference(equality_resolution, [status(thm)], [d12])). % 23.62/8.56 cnf(d14, plain, 'Ts12'(X0,X1,'set$uunion2'(X1,X0)), inference(superposition, [status(thm)], [c6,d1])). % 23.62/8.56 cnf(d15, plain, 'Ts12'(singleton(X0),X0,succ(X0)), inference(superposition, [status(thm)], [c7,d14])). % 23.62/8.56 cnf(d16, plain, in(X0,succ(X1)) | ~in(X0,singleton(X1)), inference(resolution, [status(thm)], [c17,d15])). % 23.62/8.56 cnf(d17, plain, in(X0,succ(X0)), inference(resolution, [status(thm)], [d16,d13])). % 23.62/8.56 cnf(d18, plain, $false, inference(resolution, [status(thm)], [d17,d11])). % 23.62/8.56 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------