%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM149+1 : TPTP v9.3.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n006.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 06:58:54 AM UTC 2026 % Result : Theorem 21.57s 3.17s % Output : CNFRefutation 21.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : COM149+1 : TPTP v9.3.1. Released v6.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.35 % Computer : n006.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sat Sep 26 23:36:55 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 21.57/3.17 % SZS status Theorem for theBenchmark.p % 21.57/3.17 % SZS output start CNFRefutation for theBenchmark.p % 21.57/3.17 fof(DIFF-var-abs, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : vvar(X0) != vabs(X1,X2,X3)). % 21.57/3.17 fof(DIFF-var-app, axiom, ! [X0] : ! [X1] : ! [X2] : vvar(X0) != vapp(X1,X2)). % 21.57/3.17 fof(DIFF-noType-someType, axiom, ! [X0] : vnoType != vsomeType(X0)). % 21.57/3.17 fof(lookup0, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((X1 = X0 & X2 = vempty) => (X3 = vlookup(X1,X2) => X3 = vnoType)))). % 21.57/3.17 fof(T-inv, axiom, ! [X0] : ! [X1] : ! [X2] : ((vtcheck(X2,X0,X1) => (? [X3] : ((X0 = vvar(X3) & vlookup(X3,X2) = vsomeType(X1))) | (? [X3] : ? [X4] : ? [X5] : ? [X6] : ((X0 = vabs(X3,X5,X4) & (X1 = varrow(X5,X6) & vtcheck(vbind(X3,X5,X2),X4,X6)))) | ? [X7] : ? [X4] : ? [X8] : ((X0 = vapp(X7,X4) & (vtcheck(X2,X7,varrow(X8,X1)) & vtcheck(X2,X4,X8))))))))). % 21.57/3.17 fof(T-Progress-T-var, conjecture, ! [X0] : ! [X1] : (((vtcheck(vempty,vvar(X1),X0) & ~visValue(vvar(X1))) => ? [X2] : vreduce(vvar(X1)) = vsomeExp(X2)))). % 21.57/3.17 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (((vtcheck(vempty,vvar(X1),X0) & ~visValue(vvar(X1))) => ? [X2] : vreduce(vvar(X1)) = vsomeExp(X2))), inference(negate_conjecture, [status(cth)], [T-Progress-T-var])). % 21.57/3.17 cnf(c11, plain, vvar(X0) != vabs(X1,X2,X3), inference(clausification, [status(esa)], [DIFF-var-abs])). % 21.57/3.17 cnf(c12, plain, vvar(X0) != vapp(X1,X2), inference(clausification, [status(esa)], [DIFF-var-app])). % 21.57/3.17 cnf(c34, plain, vnoType != vsomeType(X0), inference(clausification, [status(esa)], [DIFF-noType-someType])). % 21.57/3.17 cnf(c38, plain, X0 != X1 | X2 != vempty | X3 != vlookup(X0,X2) | X3 = vnoType, inference(clausification, [status(esa)], [lookup0])). % 21.57/3.17 cnf(c142, plain, ~vtcheck(X0,X1,X2) | vlookup(sK323(X1,X2,X0),X0) = vsomeType(X2) | X3(X0,X2,X1), inference(clausification, [status(esa)], [T-inv])). % 21.57/3.17 cnf(c143, plain, ~X0(X1,X2,X3) | X3 = vabs(sK324(X1,X2,X3),sK326(X1,X2,X3),sK325(X1,X2,X3)), inference(clausification, [status(esa)], [T-inv])). % 21.57/3.17 cnf(c146, plain, ~X0(X1,X2,X3) | X4(X1,X2,X3) | X3 = vapp(sK328(X2,X3,X1),sK329(X2,X3,X1)), inference(clausification, [status(esa)], [T-inv])). % 21.57/3.17 cnf(c149, plain, vtcheck(vempty,vvar(sK332),sK331), inference(clausification, [status(esa)], [negated_conjecture])). % 21.57/3.17 cnf(d0, plain, X0 != X1 | vlookup(X0,X2) = vnoType | X2 != vempty, inference(equality_resolution, [status(thm)], [c38])). % 21.57/3.17 cnf(d1, plain, X0 != vempty | vlookup(X1,X0) = vnoType, inference(equality_resolution, [status(thm)], [d0])). % 21.57/3.17 cnf(d2, plain, vlookup(X0,vempty) = vnoType, inference(equality_resolution, [status(thm)], [d1])). % 21.57/3.17 cnf(d3, plain, vlookup(sK323(vvar(sK332),sK331,vempty),vempty) = vsomeType(sK331) | 'Ts319'(vempty,sK331,vvar(sK332)), inference(resolution, [status(thm)], [c142,c149])). % 21.57/3.17 cnf(d4, plain, vnoType = vsomeType(sK331) | 'Ts319'(vempty,sK331,vvar(sK332)), inference(demodulation, [status(thm)], [d3,d2])). % 21.57/3.17 cnf(d5, plain, 'Ts319'(vempty,sK331,vvar(sK332)), inference(resolution, [status(thm)], [c34,d4])). % 21.57/3.17 cnf(d6, plain, vvar(sK332) = vapp(sK328(sK331,vvar(sK332),vempty),sK329(sK331,vvar(sK332),vempty)) | 'Ts318'(vempty,sK331,vvar(sK332)), inference(resolution, [status(thm)], [c146,d5])). % 21.57/3.17 cnf(d7, plain, 'Ts318'(vempty,sK331,vvar(sK332)), inference(resolution, [status(thm)], [c12,d6])). % 21.57/3.17 cnf(d8, plain, vvar(sK332) = vabs(sK324(vempty,sK331,vvar(sK332)),sK326(vempty,sK331,vvar(sK332)),sK325(vempty,sK331,vvar(sK332))), inference(resolution, [status(thm)], [d7,c143])). % 21.57/3.17 cnf(d9, plain, $false, inference(resolution, [status(thm)], [c11,d8])). % 21.57/3.17 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------