%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM143+1 : TPTP v9.3.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 06:58:53 AM UTC 2026 % Result : Theorem 193.09s 53.72s % Output : CNFRefutation 193.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : COM143+1 : TPTP v9.3.1. Released v6.4.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.35 % Computer : n012.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 23:35:05 UTC 2026 % 0.08/0.36 % CPUTime : % 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 193.09/53.72 % SZS status Theorem for theBenchmark.p % 193.09/53.72 % SZS output start CNFRefutation for theBenchmark.p % 193.09/53.72 fof(EQ-var, axiom, ! [X0] : ! [X1] : (((vvar(X0) = vvar(X1) => X0 = X1) & (X0 = X1 => vvar(X0) = vvar(X1))))). % 193.09/53.72 fof(DIFF-var-abs, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : vvar(X0) != vabs(X1,X2,X3)). % 193.09/53.72 fof(DIFF-var-app, axiom, ! [X0] : ! [X1] : ! [X2] : vvar(X0) != vapp(X1,X2)). % 193.09/53.72 fof(DIFF-noType-someType, axiom, ! [X0] : vnoType != vsomeType(X0)). % 193.09/53.72 fof(lookup2, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ! [X6] : (((X2 = X5 & X3 = vbind(X1,X0,X6)) => (X5 != X1 => (X4 = vlookup(X2,X3) => X4 = vlookup(X5,X6)))))). % 193.09/53.72 fof(T-var, axiom, ! [X0] : ! [X1] : ! [X2] : ((vlookup(X1,X0) = vsomeType(X2) => vtcheck(X0,vvar(X1),X2)))). % 193.09/53.72 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))))))))). % 193.09/53.72 fof(T-Weak-var, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((vlookup(X0,X2) = vnoType & vtcheck(X2,vvar(X3),X4)) => vtcheck(vbind(X0,X1,X2),vvar(X3),X4)))). % 193.09/53.72 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((vlookup(X0,X2) = vnoType & vtcheck(X2,vvar(X3),X4)) => vtcheck(vbind(X0,X1,X2),vvar(X3),X4))), inference(negate_conjecture, [status(cth)], [T-Weak-var])). % 193.09/53.72 cnf(c0, plain, vvar(X0) != vvar(X1) | X0 = X1, inference(clausification, [status(esa)], [EQ-var])). % 193.09/53.72 cnf(c9, plain, vvar(X0) != vabs(X1,X2,X3), inference(clausification, [status(esa)], [DIFF-var-abs])). % 193.09/53.72 cnf(c10, plain, vvar(X0) != vapp(X1,X2), inference(clausification, [status(esa)], [DIFF-var-app])). % 193.09/53.72 cnf(c32, plain, vnoType != vsomeType(X0), inference(clausification, [status(esa)], [DIFF-noType-someType])). % 193.09/53.72 cnf(c38, plain, X0 = X1 | X2 != X0 | X3 != vlookup(X2,X4) | X4 != vbind(X1,X5,X6) | X3 = vlookup(X0,X6), inference(clausification, [status(esa)], [lookup2])). % 193.09/53.72 cnf(c136, plain, vlookup(X0,X1) != vsomeType(X2) | vtcheck(X1,vvar(X0),X2), inference(clausification, [status(esa)], [T-var])). % 193.09/53.72 cnf(c139, plain, ~vtcheck(X0,X1,X2) | X1 = vvar(sK313(X1,X2,X0)) | X3(X0,X2,X1), inference(clausification, [status(esa)], [T-inv])). % 193.09/53.72 cnf(c140, plain, ~vtcheck(X0,X1,X2) | vlookup(sK313(X1,X2,X0),X0) = vsomeType(X2) | X3(X0,X2,X1), inference(clausification, [status(esa)], [T-inv])). % 193.09/53.72 cnf(c141, plain, ~X0(X1,X2,X3) | X3 = vabs(sK314(X1,X2,X3),sK316(X1,X2,X3),sK315(X1,X2,X3)), inference(clausification, [status(esa)], [T-inv])). % 193.09/53.72 cnf(c144, plain, ~X0(X1,X2,X3) | X4(X1,X2,X3) | X3 = vapp(sK318(X2,X1,X3),sK319(X2,X1,X3)), inference(clausification, [status(esa)], [T-inv])). % 193.09/53.72 cnf(c147, plain, vlookup(sK321,sK323) = vnoType, inference(clausification, [status(esa)], [negated_conjecture])). % 193.09/53.72 cnf(c148, plain, vtcheck(sK323,vvar(sK324),sK325), inference(clausification, [status(esa)], [negated_conjecture])). % 193.09/53.72 cnf(c149, plain, ~vtcheck(vbind(sK321,sK322,sK323),vvar(sK324),sK325), inference(clausification, [status(esa)], [negated_conjecture])). % 193.09/53.72 cnf(d0, plain, X0 = X1 | X2 != X0 | X3 = vlookup(X0,X4) | X3 != vlookup(X2,vbind(X1,X5,X4)), inference(equality_resolution, [status(thm)], [c38])). % 193.09/53.72 cnf(d1, plain, vlookup(X0,vbind(X1,X2,X3)) = vlookup(X4,X3) | X0 != X4 | X4 = X1, inference(equality_resolution, [status(thm)], [d0])). % 193.09/53.72 cnf(d2, plain, X0 = X1 | vlookup(X0,vbind(X1,X2,X3)) = vlookup(X0,X3), inference(equality_resolution, [status(thm)], [d1])). % 193.09/53.72 cnf(d3, plain, vlookup(X0,X3) != vsomeType(X4) | vtcheck(vbind(X1,X2,X3),vvar(X0),X4) | X0 = X1, inference(superposition, [status(thm)], [d2,c136])). % 193.09/53.72 cnf(d4, plain, vvar(sK324) = vvar(sK313(vvar(sK324),sK325,sK323)) | 'Ts309'(sK323,sK325,vvar(sK324)), inference(resolution, [status(thm)], [c139,c148])). % 193.09/53.72 cnf(d5, plain, vvar(sK324) = vapp(sK318(sK325,sK323,vvar(sK324)),sK319(sK325,sK323,vvar(sK324))) | 'Ts308'(sK323,sK325,vvar(sK324)) | vvar(sK324) = vvar(sK313(vvar(sK324),sK325,sK323)), inference(resolution, [status(thm)], [c144,d4])). % 193.09/53.72 cnf(d6, plain, vvar(sK324) = vvar(sK313(vvar(sK324),sK325,sK323)) | 'Ts308'(sK323,sK325,vvar(sK324)), inference(resolution, [status(thm)], [c10,d5])). % 193.09/53.72 cnf(d7, plain, vvar(sK324) = vvar(sK313(vvar(sK324),sK325,sK323)) | vvar(sK324) = vabs(sK314(sK323,sK325,vvar(sK324)),sK316(sK323,sK325,vvar(sK324)),sK315(sK323,sK325,vvar(sK324))), inference(resolution, [status(thm)], [d6,c141])). % 193.09/53.72 cnf(d8, plain, vvar(sK324) = vvar(sK313(vvar(sK324),sK325,sK323)), inference(resolution, [status(thm)], [c9,d7])). % 193.09/53.72 cnf(d9, plain, vvar(sK324) != vvar(X0) | sK313(vvar(sK324),sK325,sK323) = X0, inference(superposition, [status(thm)], [d8,c0])). % 193.09/53.72 cnf(d10, plain, sK313(vvar(sK324),sK325,sK323) = sK324, inference(equality_resolution, [status(thm)], [d9])). % 193.09/53.72 cnf(d11, plain, vlookup(sK313(vvar(sK324),sK325,sK323),sK323) = vsomeType(sK325) | 'Ts309'(sK323,sK325,vvar(sK324)), inference(resolution, [status(thm)], [c140,c148])). % 193.09/53.72 cnf(d12, plain, vvar(sK324) = vapp(sK318(sK325,sK323,vvar(sK324)),sK319(sK325,sK323,vvar(sK324))) | 'Ts308'(sK323,sK325,vvar(sK324)) | vlookup(sK313(vvar(sK324),sK325,sK323),sK323) = vsomeType(sK325), inference(resolution, [status(thm)], [c144,d11])). % 193.09/53.72 cnf(d13, plain, vlookup(sK313(vvar(sK324),sK325,sK323),sK323) = vsomeType(sK325) | 'Ts308'(sK323,sK325,vvar(sK324)), inference(resolution, [status(thm)], [c10,d12])). % 193.09/53.72 cnf(d14, plain, vlookup(sK324,sK323) = vsomeType(sK325) | 'Ts308'(sK323,sK325,vvar(sK324)), inference(demodulation, [status(thm)], [d13,d10])). % 193.09/53.72 cnf(d15, plain, vlookup(sK324,sK323) = vsomeType(sK325) | vvar(sK324) = vabs(sK314(sK323,sK325,vvar(sK324)),sK316(sK323,sK325,vvar(sK324)),sK315(sK323,sK325,vvar(sK324))), inference(resolution, [status(thm)], [d14,c141])). % 193.09/53.72 cnf(d16, plain, vlookup(sK324,sK323) = vsomeType(sK325), inference(resolution, [status(thm)], [c9,d15])). % 193.09/53.72 cnf(d17, plain, vsomeType(sK325) != vsomeType(X0) | sK324 = X1 | vtcheck(vbind(X1,X2,sK323),vvar(sK324),X0), inference(superposition, [status(thm)], [d16,d3])). % 193.09/53.72 cnf(d18, plain, sK324 = X0 | vtcheck(vbind(X0,X1,sK323),vvar(sK324),sK325), inference(equality_resolution, [status(thm)], [d17])). % 193.09/53.72 cnf(d19, plain, sK324 = sK321, inference(resolution, [status(thm)], [d18,c149])). % 193.09/53.72 cnf(d20, plain, vlookup(sK321,sK323) = vsomeType(sK325), inference(demodulation, [status(thm)], [d16,d19])). % 193.09/53.72 cnf(d21, plain, vnoType = vsomeType(sK325), inference(demodulation, [status(thm)], [d20,c147])). % 193.09/53.72 cnf(d22, plain, $false, inference(resolution, [status(thm)], [c32,d21])). % 193.09/53.72 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------