%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET790+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 : n005.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 13.62s 2.15s % Output : CNFRefutation 13.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SET790+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 % 0.09/0.36 % Computer : n005.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 08:16:16 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 13.62/2.15 % SZS status Theorem for theBenchmark.p % 13.62/2.15 % SZS output start CNFRefutation for theBenchmark.p % 13.62/2.15 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))))))))). % 13.62/2.15 fof(least, axiom, ! [X0] : ! [X1] : ! [X2] : ((least(X2,X0,X1) <=> (member(X2,X1) & ! [X3] : ((member(X3,X1) => apply(X0,X2,X3))))))). % 13.62/2.15 fof(thIV2, conjecture, ! [X0] : ! [X1] : ! [X2] : (((order(X0,X1) & least(X2,X0,X1)) => ! [X3] : ((least(X3,X0,X1) => X2 = X3))))). % 13.62/2.15 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (((order(X0,X1) & least(X2,X0,X1)) => ! [X3] : ((least(X3,X0,X1) => X2 = X3)))), inference(negate_conjecture, [status(cth)], [thIV2])). % 13.62/2.15 cnf(c0, plain, ~order(X0,X1) | X2(X1,X0), inference(clausification, [status(esa)], [order])). % 13.62/2.15 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])). % 13.62/2.15 cnf(c16, plain, ~X0(X1,X2) | X3(X1,X2), inference(clausification, [status(esa)], [order])). % 13.62/2.15 cnf(c38, plain, ~least(X0,X1,X2) | member(X0,X2), inference(clausification, [status(esa)], [least])). % 13.62/2.15 cnf(c39, plain, ~least(X0,X1,X2) | ~member(X3,X2) | apply(X1,X0,X3), inference(clausification, [status(esa)], [least])). % 13.62/2.15 cnf(c72, plain, order(sK70,sK71), inference(clausification, [status(esa)], [negated_conjecture])). % 13.62/2.15 cnf(c73, plain, least(sK72,sK70,sK71), inference(clausification, [status(esa)], [negated_conjecture])). % 13.62/2.15 cnf(c74, plain, least(sK73,sK70,sK71), inference(clausification, [status(esa)], [negated_conjecture])). % 13.62/2.15 cnf(c75, plain, sK72 != sK73, inference(clausification, [status(esa)], [negated_conjecture])). % 13.62/2.15 cnf(d0, plain, 'Ts2'(sK71,sK70), inference(resolution, [status(thm)], [c0,c72])). % 13.62/2.15 cnf(d1, plain, 'Ts1'(sK71,sK70), inference(resolution, [status(thm)], [c16,d0])). % 13.62/2.15 cnf(d2, plain, ~member(X0,sK71) | apply(sK70,sK73,X0), inference(resolution, [status(thm)], [c39,c74])). % 13.62/2.15 cnf(d3, plain, ~member(X0,sK71) | apply(sK70,sK72,X0), inference(resolution, [status(thm)], [c39,c73])). % 13.62/2.15 cnf(d4, plain, ~member(X0,sK71) | sK72 = X0 | ~member(X0,X1) | ~member(sK72,X1) | ~apply(sK70,X0,sK72) | ~'Ts1'(X1,sK70), inference(resolution, [status(thm)], [d3,c9])). % 13.62/2.15 cnf(d5, plain, sK72 = sK73 | ~member(sK73,X0) | ~member(sK73,sK71) | ~member(sK72,X0) | ~'Ts1'(X0,sK70) | ~member(sK72,sK71), inference(resolution, [status(thm)], [d4,d2])). % 13.62/2.15 cnf(d6, plain, ~member(sK72,X0) | ~member(sK72,sK71) | ~member(sK73,X0) | ~member(sK73,sK71) | ~'Ts1'(X0,sK70), inference(resolution, [status(thm)], [c75,d5])). % 13.62/2.15 cnf(d7, plain, member(sK72,sK71), inference(resolution, [status(thm)], [c38,c73])). % 13.62/2.15 cnf(d8, plain, ~member(sK72,X0) | ~member(sK73,X0) | ~member(sK73,sK71) | ~'Ts1'(X0,sK70), inference(resolution, [status(thm)], [d7,d6])). % 13.62/2.15 cnf(d9, plain, member(sK73,sK71), inference(resolution, [status(thm)], [c38,c74])). % 13.62/2.15 cnf(d10, plain, ~member(sK72,X0) | ~member(sK73,X0) | ~'Ts1'(X0,sK70), inference(resolution, [status(thm)], [d9,d8])). % 13.62/2.15 cnf(d11, plain, ~member(sK72,sK71) | ~member(sK73,sK71), inference(resolution, [status(thm)], [d10,d1])). % 13.62/2.15 cnf(d12, plain, ~member(sK73,sK71), inference(resolution, [status(thm)], [d7,d11])). % 13.62/2.15 cnf(d13, plain, $false, inference(resolution, [status(thm)], [d9,d12])). % 13.62/2.15 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------