%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET792+4 : 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 : n020.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 08:33:14 AM UTC 2026 % Result : Theorem 13.37s 2.68s % Output : CNFRefutation 13.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SET792+4 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.35 % Computer : n020.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 26 08:17:18 UTC 2026 % 0.08/0.35 % CPUTime : % 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 13.37/2.68 % SZS status Theorem for theBenchmark.p % 13.37/2.68 % SZS output start CNFRefutation for theBenchmark.p % 13.37/2.68 fof(order, axiom, ! [X0] : ! [X1] : ((order(X0,X1) <=> (! [X2] : ((member(X2,X1) => apply(X0,X2,X2))) & (! [X2] : ! [X3] : (((member(X2,X1) & member(X3,X1)) => ((apply(X0,X2,X3) & apply(X0,X3,X2)) => X2 = X3))) & ! [X2] : ! [X3] : ! [X4] : (((member(X2,X1) & (member(X3,X1) & member(X4,X1))) => ((apply(X0,X2,X3) & apply(X0,X3,X4)) => apply(X0,X2,X4))))))))). % 13.37/2.68 fof(least, axiom, ! [X0] : ! [X1] : ! [X2] : ((least(X2,X0,X1) <=> (member(X2,X1) & ! [X3] : ((member(X3,X1) => apply(X0,X2,X3))))))). % 13.37/2.68 fof(min, axiom, ! [X0] : ! [X1] : ! [X2] : ((min(X2,X0,X1) <=> (member(X2,X1) & ! [X3] : (((member(X3,X1) & apply(X0,X3,X2)) => X2 = X3)))))). % 13.37/2.68 fof(thIV4, conjecture, ! [X0] : ! [X1] : ! [X2] : (((order(X0,X1) & least(X2,X0,X1)) => min(X2,X0,X1)))). % 13.37/2.68 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (((order(X0,X1) & least(X2,X0,X1)) => min(X2,X0,X1))), inference(negate_conjecture, [status(cth)], [thIV4])). % 13.37/2.68 cnf(c0, plain, ~order(X0,X1) | X2(X1,X0), inference(clausification, [status(esa)], [order])). % 13.37/2.68 cnf(c9, plain, ~apply(X0,X1,X2) | ~apply(X0,X2,X1) | ~member(X1,X3) | X1 = X2 | ~member(X2,X3) | ~X4(X3,X0), inference(clausification, [status(esa)], [order])). % 13.37/2.68 cnf(c16, plain, ~X0(X1,X2) | X3(X1,X2), inference(clausification, [status(esa)], [order])). % 13.37/2.68 cnf(c38, plain, ~least(X0,X1,X2) | member(X0,X2), inference(clausification, [status(esa)], [least])). % 13.37/2.68 cnf(c39, plain, ~least(X0,X1,X2) | ~member(X3,X2) | apply(X1,X0,X3), inference(clausification, [status(esa)], [least])). % 13.37/2.68 cnf(c50, plain, min(X0,X1,X2) | ~X3(X2,X0,X1), inference(clausification, [status(esa)], [min])). % 13.37/2.68 cnf(c53, plain, X0(X1,X2,X3) | ~member(X2,X1) | member(sK55(X1,X2,X3),X1), inference(clausification, [status(esa)], [min])). % 13.37/2.68 cnf(c54, plain, X0(X1,X2,X3) | ~member(X2,X1) | apply(X3,sK55(X1,X2,X3),X2), inference(clausification, [status(esa)], [min])). % 13.37/2.68 cnf(c55, plain, X0(X1,X2,X3) | ~member(X2,X1) | X2 != sK55(X1,X2,X3), inference(clausification, [status(esa)], [min])). % 13.37/2.68 cnf(c72, plain, order(sK70,sK71), inference(clausification, [status(esa)], [negated_conjecture])). % 13.37/2.68 cnf(c73, plain, least(sK72,sK70,sK71), inference(clausification, [status(esa)], [negated_conjecture])). % 13.37/2.68 cnf(c74, plain, ~min(sK72,sK70,sK71), inference(clausification, [status(esa)], [negated_conjecture])). % 13.37/2.68 cnf(d0, plain, ~member(X0,sK71) | apply(sK70,sK72,X0), inference(resolution, [status(thm)], [c39,c73])). % 13.37/2.68 cnf(d1, plain, ~member(X0,sK71) | sK72 = X0 | ~member(X0,X1) | ~member(sK72,X1) | ~apply(sK70,X0,sK72) | ~'Ts1'(X1,sK70), inference(resolution, [status(thm)], [d0,c9])). % 13.37/2.68 cnf(d2, plain, ~member(sK72,X0) | 'Ts50'(X0,sK72,sK70) | sK72 = sK55(X0,sK72,sK70) | ~member(sK55(X0,sK72,sK70),X1) | ~member(sK55(X0,sK72,sK70),sK71) | ~member(sK72,X1) | ~'Ts1'(X1,sK70), inference(resolution, [status(thm)], [c54,d1])). % 13.37/2.68 cnf(d3, plain, sK72 = sK55(sK71,sK72,sK70) | ~member(sK55(sK71,sK72,sK70),X0) | ~member(sK72,X0) | ~member(sK72,sK71) | ~'Ts1'(X0,sK70) | 'Ts50'(sK71,sK72,sK70) | ~member(sK72,sK71) | 'Ts50'(sK71,sK72,sK70), inference(resolution, [status(thm)], [d2,c53])). % 13.37/2.68 cnf(d4, plain, member(sK72,sK71), inference(resolution, [status(thm)], [c38,c73])). % 13.37/2.68 cnf(d5, plain, sK72 = sK55(sK71,sK72,sK70) | ~member(sK55(sK71,sK72,sK70),X0) | ~member(sK72,X0) | ~'Ts1'(X0,sK70) | 'Ts50'(sK71,sK72,sK70), inference(resolution, [status(thm)], [d4,d3])). % 13.37/2.68 cnf(d6, plain, sK72 = sK55(sK71,sK72,sK70) | ~member(sK72,sK71) | ~'Ts1'(sK71,sK70) | 'Ts50'(sK71,sK72,sK70) | ~member(sK72,sK71) | 'Ts50'(sK71,sK72,sK70), inference(resolution, [status(thm)], [d5,c53])). % 13.37/2.68 cnf(d7, plain, 'Ts2'(sK71,sK70), inference(resolution, [status(thm)], [c0,c72])). % 13.37/2.68 cnf(d8, plain, 'Ts1'(sK71,sK70), inference(resolution, [status(thm)], [c16,d7])). % 13.37/2.68 cnf(d9, plain, sK72 = sK55(sK71,sK72,sK70) | ~member(sK72,sK71) | 'Ts50'(sK71,sK72,sK70), inference(resolution, [status(thm)], [d8,d6])). % 13.37/2.68 cnf(d10, plain, sK72 = sK55(sK71,sK72,sK70) | 'Ts50'(sK71,sK72,sK70), inference(resolution, [status(thm)], [d4,d9])). % 13.37/2.68 cnf(d11, plain, sK72 = sK55(sK71,sK72,sK70) | min(sK72,sK70,sK71), inference(resolution, [status(thm)], [d10,c50])). % 13.37/2.68 cnf(d12, plain, sK72 = sK55(sK71,sK72,sK70), inference(resolution, [status(thm)], [c74,d11])). % 13.37/2.68 cnf(d13, plain, sK72 != sK72 | ~member(sK72,sK71) | 'Ts50'(sK71,sK72,sK70), inference(superposition, [status(thm)], [d12,c55])). % 13.37/2.68 cnf(d14, plain, sK72 != sK72 | 'Ts50'(sK71,sK72,sK70), inference(resolution, [status(thm)], [d4,d13])). % 13.37/2.68 cnf(d15, plain, 'Ts50'(sK71,sK72,sK70), inference(equality_resolution, [status(thm)], [d14])). % 13.37/2.68 cnf(d16, plain, min(sK72,sK70,sK71), inference(resolution, [status(thm)], [d15,c50])). % 13.37/2.68 cnf(d17, plain, $false, inference(resolution, [status(thm)], [c74,d16])). % 13.37/2.68 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------