%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU119+2 : TPTP v9.3.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n014.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 08:40:54 AM UTC 2026 % Result : Theorem 16.70s 2.82s % Output : CNFRefutation 16.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SEU119+2 : TPTP v9.3.1. Released v3.3.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.35 % Computer : n014.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 26 08:37:16 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 16.70/2.82 % SZS status Theorem for theBenchmark.p % 16.70/2.82 % SZS output start CNFRefutation for theBenchmark.p % 16.70/2.82 fof(commutativity_k3_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0)). % 16.70/2.82 fof(d1_xboole_0, axiom, ! [X0] : ((X0 = 'empty$uset' <=> ! [X1] : ~in(X1,X0)))). % 16.70/2.82 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))). % 16.70/2.82 fof(d7_xboole_0, axiom, ! [X0] : ! [X1] : ((disjoint(X0,X1) <=> 'set$uintersection2'(X0,X1) = 'empty$uset'))). % 16.70/2.82 fof(t3_xboole_0, conjecture, ! [X0] : ! [X1] : ((~((~disjoint(X0,X1) & ! [X2] : ~((in(X2,X0) & in(X2,X1))))) & ~((? [X2] : ((in(X2,X0) & in(X2,X1))) & disjoint(X0,X1)))))). % 16.70/2.82 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((~((~disjoint(X0,X1) & ! [X2] : ~((in(X2,X0) & in(X2,X1))))) & ~((? [X2] : ((in(X2,X0) & in(X2,X1))) & disjoint(X0,X1))))), inference(negate_conjecture, [status(cth)], [t3_xboole_0])). % 16.70/2.82 cnf(c1, plain, 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k3_xboole_0])). % 16.70/2.82 cnf(c2, plain, X0 != 'empty$uset' | ~in(X1,X0), inference(clausification, [status(esa)], [d1_xboole_0])). % 16.70/2.82 cnf(c4, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])). % 16.70/2.82 cnf(c5, plain, X0 = 'set$uintersection2'(X1,X2) | ~X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])). % 16.70/2.82 cnf(c8, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1) | ~in(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])). % 16.70/2.82 cnf(c10, plain, X0(X1,X2,X3) | in(sK12(X1,X2,X3),X3) | in(sK12(X1,X2,X3),X1), inference(clausification, [status(esa)], [d3_xboole_0])). % 16.70/2.82 cnf(c11, plain, X0(X1,X2,X3) | in(sK12(X1,X2,X3),X3) | in(sK12(X1,X2,X3),X2), inference(clausification, [status(esa)], [d3_xboole_0])). % 16.70/2.82 cnf(c15, plain, ~disjoint(X0,X1) | 'set$uintersection2'(X0,X1) = 'empty$uset', inference(clausification, [status(esa)], [d7_xboole_0])). % 16.70/2.82 cnf(c16, plain, disjoint(X0,X1) | 'set$uintersection2'(X0,X1) != 'empty$uset', inference(clausification, [status(esa)], [d7_xboole_0])). % 16.70/2.82 cnf(c22, plain, ~disjoint(sK22,sK23) | ~X0(sK22,sK23), inference(clausification, [status(esa)], [negated_conjecture])). % 16.70/2.82 cnf(c23, plain, ~in(X0,sK22) | ~in(X0,sK23) | ~X1(sK22,sK23), inference(clausification, [status(esa)], [negated_conjecture])). % 16.70/2.82 cnf(c24, plain, X0(X1,X2) | in(sK25(X1,X2),X1), inference(clausification, [status(esa)], [negated_conjecture])). % 16.70/2.82 cnf(c25, plain, X0(X1,X2) | in(sK25(X1,X2),X2), inference(clausification, [status(esa)], [negated_conjecture])). % 16.70/2.82 cnf(c26, plain, X0(X1,X2) | disjoint(X1,X2), inference(clausification, [status(esa)], [negated_conjecture])). % 16.70/2.82 cnf(d0, plain, 'Ts7'(X0,X1,'set$uintersection2'(X0,X1)), inference(equality_resolution, [status(thm)], [c4])). % 16.70/2.82 cnf(d1, plain, ~in(X0,sK22) | ~in(X0,sK23) | disjoint(sK22,sK23), inference(resolution, [status(thm)], [c23,c26])). % 16.70/2.82 cnf(d2, plain, in(sK12(sK23,X0,X1),X1) | 'Ts7'(sK23,X0,X1) | ~in(sK12(sK23,X0,X1),sK22) | disjoint(sK22,sK23), inference(resolution, [status(thm)], [c10,d1])). % 16.70/2.82 cnf(d3, plain, in(sK12(sK23,sK22,X0),X0) | 'Ts7'(sK23,sK22,X0) | disjoint(sK22,sK23) | in(sK12(sK23,sK22,X0),X0) | 'Ts7'(sK23,sK22,X0), inference(resolution, [status(thm)], [d2,c11])). % 16.70/2.82 cnf(d4, plain, ~in(X0,'empty$uset'), inference(equality_resolution, [status(thm)], [c2])). % 16.70/2.82 cnf(d5, plain, 'Ts7'(sK23,sK22,'empty$uset') | disjoint(sK22,sK23), inference(resolution, [status(thm)], [d4,d3])). % 16.70/2.82 cnf(d6, plain, disjoint(sK22,sK23) | 'empty$uset' = 'set$uintersection2'(sK23,sK22), inference(resolution, [status(thm)], [d5,c5])). % 16.70/2.82 cnf(d7, plain, 'empty$uset' = 'set$uintersection2'(sK22,sK23) | disjoint(sK22,sK23), inference(demodulation, [status(thm)], [d6,c1])). % 16.70/2.82 cnf(d8, plain, 'empty$uset' = 'set$uintersection2'(sK22,sK23) | 'set$uintersection2'(sK22,sK23) = 'empty$uset', inference(resolution, [status(thm)], [d7,c15])). % 16.70/2.82 cnf(d9, plain, 'empty$uset' != 'empty$uset' | 'empty$uset' = 'set$uintersection2'(sK22,sK23), inference(equality_factoring, [status(thm)], [d8])). % 16.70/2.82 cnf(d10, plain, 'empty$uset' = 'set$uintersection2'(sK22,sK23), inference(equality_resolution, [status(thm)], [d9])). % 16.70/2.82 cnf(d11, plain, 'Ts7'(sK22,sK23,'empty$uset'), inference(superposition, [status(thm)], [d10,d0])). % 16.70/2.82 cnf(d12, plain, in(X0,'empty$uset') | ~in(X0,sK23) | ~in(X0,sK22), inference(resolution, [status(thm)], [d11,c8])). % 16.70/2.82 cnf(d13, plain, ~in(X0,sK22) | ~in(X0,sK23), inference(resolution, [status(thm)], [d4,d12])). % 16.70/2.82 cnf(d14, plain, ~in(sK25(X0,sK23),sK22) | 'Ts21'(X0,sK23), inference(resolution, [status(thm)], [d13,c25])). % 16.70/2.82 cnf(d15, plain, 'Ts21'(sK22,sK23) | 'Ts21'(sK22,sK23), inference(resolution, [status(thm)], [d14,c24])). % 16.70/2.82 cnf(d16, plain, 'empty$uset' != 'empty$uset' | disjoint(sK22,sK23), inference(superposition, [status(thm)], [d10,c16])). % 16.70/2.82 cnf(d17, plain, disjoint(sK22,sK23), inference(equality_resolution, [status(thm)], [d16])). % 16.70/2.82 cnf(d18, plain, ~'Ts21'(sK22,sK23), inference(resolution, [status(thm)], [d17,c22])). % 16.70/2.82 cnf(d19, plain, $false, inference(resolution, [status(thm)], [d18,d15])). % 16.70/2.82 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------