%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWW101+1 : TPTP v9.3.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n008.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 09:11:28 AM UTC 2026 % Result : Theorem 41.00s 15.75s % Output : CNFRefutation 41.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : SWW101+1 : TPTP v9.3.1. Released v5.2.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.11/10.38 % Computer : n008.cluster.edu % 0.11/10.38 % Model : x86_64 x86_64 % 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/10.38 % Memory : 8046.5625MB % 0.11/10.38 % OS : Linux 6.8.0-71-generic % 0.11/10.38 % CPULimit : 300 % 0.11/10.38 % WCLimit : 300 % 0.11/10.38 % DateTime : Sat Sep 26 15:25:07 UTC 2026 % 0.11/10.38 % CPUTime : % 0.11/10.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 41.00/15.75 % SZS status Theorem for theBenchmark.p % 41.00/15.75 % SZS output start CNFRefutation for theBenchmark.p % 41.00/15.75 fof(def_bool, axiom, ! [X0] : ((bool(X0) <=> (X0 = false | X0 = true)))). % 41.00/15.75 fof(false_true_err_in_d, axiom, (d(true) & (d(false) & d(err)))). % 41.00/15.75 fof(def_forallprefers, axiom, ! [X0] : ! [X1] : ((forallprefers(X0,X1) <=> ((~d(X0) & d(X1)) | ((d(X0) & (d(X1) & (~bool(X0) & bool(X1)))) | (X0 = false & X1 = true)))))). % 41.00/15.75 fof(def_phi, axiom, ! [X0] : (((d(X0) & phi(X0) = X0) | (~d(X0) & phi(X0) = err)))). % 41.00/15.75 fof(prop_true, axiom, ! [X0] : ((prop(X0) = true <=> bool(X0)))). % 41.00/15.75 fof(prop_false, axiom, ! [X0] : ((prop(X0) = false <=> ~bool(X0)))). % 41.00/15.75 fof(lazy_impl_axiom2, axiom, ! [X0] : 'lazy$uimpl'(false,X0) = true). % 41.00/15.75 fof(lazy_impl_axiom3, axiom, ! [X0] : 'lazy$uimpl'(true,X0) = phi(X0)). % 41.00/15.75 fof(def_false1, axiom, false1 = false). % 41.00/15.75 fof(def_f7, axiom, ! [X0] : f7(X0) = 'lazy$uimpl'(prop(X0),X0)). % 41.00/15.75 fof(def_false2, axiom, ? [X0] : ((false2 = phi(f7(X0)) & ~? [X1] : forallprefers(f7(X1),f7(X0))))). % 41.00/15.75 fof(false1_false2, conjecture, false1 = false2). % 41.00/15.75 fof(negated_conjecture, negated_conjecture, false1 != false2, inference(negate_conjecture, [status(cth)], [false1_false2])). % 41.00/15.75 cnf(c0, plain, ~bool(X0) | X0 = false | X0 = true, inference(clausification, [status(esa)], [def_bool])). % 41.00/15.75 cnf(c1, plain, bool(X0) | X0 != false, inference(clausification, [status(esa)], [def_bool])). % 41.00/15.75 cnf(c6, plain, d(true), inference(clausification, [status(esa)], [false_true_err_in_d])). % 41.00/15.75 cnf(c7, plain, d(false), inference(clausification, [status(esa)], [false_true_err_in_d])). % 41.00/15.75 cnf(c10, plain, forallprefers(X0,X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [def_forallprefers])). % 41.00/15.75 cnf(c20, plain, X0(X1,X2) | d(X1) | ~d(X2), inference(clausification, [status(esa)], [def_forallprefers])). % 41.00/15.75 cnf(c22, plain, X0(X1,X2) | X1 != false | X2 != true, inference(clausification, [status(esa)], [def_forallprefers])). % 41.00/15.75 cnf(c39, plain, phi(X0) = X0 | ~d(X0), inference(clausification, [status(esa)], [def_phi])). % 41.00/15.75 cnf(c42, plain, prop(X0) = true | ~bool(X0), inference(clausification, [status(esa)], [prop_true])). % 41.00/15.75 cnf(c44, plain, prop(X0) = false | bool(X0), inference(clausification, [status(esa)], [prop_false])). % 41.00/15.75 cnf(c50, plain, 'lazy$uimpl'(false,X0) = true, inference(clausification, [status(esa)], [lazy_impl_axiom2])). % 41.00/15.75 cnf(c51, plain, 'lazy$uimpl'(true,X0) = phi(X0), inference(clausification, [status(esa)], [lazy_impl_axiom3])). % 41.00/15.75 cnf(c80, plain, false1 = false, inference(clausification, [status(esa)], [def_false1])). % 41.00/15.75 cnf(c81, plain, f7(X0) = 'lazy$uimpl'(prop(X0),X0), inference(clausification, [status(esa)], [def_f7])). % 41.00/15.75 cnf(c82, plain, false2 = phi(f7(sK75)), inference(clausification, [status(esa)], [def_false2])). % 41.00/15.75 cnf(c83, plain, ~forallprefers(f7(X0),f7(sK75)), inference(clausification, [status(esa)], [def_false2])). % 41.00/15.75 cnf(c88, plain, false1 != false2, inference(clausification, [status(esa)], [negated_conjecture])). % 41.00/15.75 cnf(d0, plain, X0 != true | 'Ts2'(false,X0), inference(equality_resolution, [status(thm)], [c22])). % 41.00/15.75 cnf(d1, plain, 'Ts2'(false,true), inference(equality_resolution, [status(thm)], [d0])). % 41.00/15.75 cnf(d2, plain, forallprefers(false,true), inference(resolution, [status(thm)], [d1,c10])). % 41.00/15.75 cnf(d3, plain, forallprefers(false,X0) | X0 = false | ~bool(X0), inference(superposition, [status(thm)], [c0,d2])). % 41.00/15.75 cnf(d4, plain, false2 = f7(sK75) | ~d(f7(sK75)), inference(superposition, [status(thm)], [c39,c82])). % 41.00/15.75 cnf(d5, plain, d(X0) | ~d(X1) | forallprefers(X0,X1), inference(resolution, [status(thm)], [c20,c10])). % 41.00/15.75 cnf(d6, plain, ~d(f7(sK75)) | d(f7(X0)), inference(resolution, [status(thm)], [d5,c83])). % 41.00/15.75 cnf(d7, plain, f7(X0) = 'lazy$uimpl'(true,X0) | ~bool(X0), inference(superposition, [status(thm)], [c42,c81])). % 41.00/15.75 cnf(d8, plain, f7(X0) = phi(X0) | ~bool(X0), inference(demodulation, [status(thm)], [d7,c51])). % 41.00/15.75 cnf(d9, plain, ~d(phi(sK75)) | d(f7(X0)) | ~bool(sK75), inference(superposition, [status(thm)], [d8,d6])). % 41.00/15.75 cnf(d10, plain, ~d(sK75) | ~bool(sK75) | d(f7(X0)) | ~d(sK75), inference(superposition, [status(thm)], [c39,d9])). % 41.00/15.75 cnf(d11, plain, f7(X0) = 'lazy$uimpl'(false,X0) | bool(X0), inference(superposition, [status(thm)], [c44,c81])). % 41.00/15.75 cnf(d12, plain, f7(X0) = true | bool(X0), inference(demodulation, [status(thm)], [d11,c50])). % 41.00/15.75 cnf(d13, plain, ~forallprefers(f7(X0),true) | bool(sK75), inference(superposition, [status(thm)], [d12,c83])). % 41.00/15.75 cnf(d14, plain, ~forallprefers(phi(X0),true) | bool(sK75) | ~bool(X0), inference(superposition, [status(thm)], [d8,d13])). % 41.00/15.75 cnf(d15, plain, ~forallprefers(X0,true) | ~bool(X0) | bool(sK75) | ~d(X0), inference(superposition, [status(thm)], [c39,d14])). % 41.00/15.75 cnf(d16, plain, ~bool(false) | bool(sK75) | ~d(false), inference(resolution, [status(thm)], [d15,d2])). % 41.00/15.75 cnf(d17, plain, ~bool(false) | bool(sK75), inference(resolution, [status(thm)], [c7,d16])). % 41.00/15.75 cnf(d18, plain, bool(false), inference(equality_resolution, [status(thm)], [c1])). % 41.00/15.75 cnf(d19, plain, bool(sK75), inference(resolution, [status(thm)], [d18,d17])). % 41.00/15.75 cnf(d20, plain, d(f7(X0)) | ~d(sK75), inference(resolution, [status(thm)], [d19,d10])). % 41.00/15.75 cnf(d21, plain, d(X0) | X0 = false | ~bool(X0), inference(superposition, [status(thm)], [c0,c6])). % 41.00/15.75 cnf(d22, plain, d(X0) | ~bool(X0) | d(X0), inference(superposition, [status(thm)], [d21,c7])). % 41.00/15.75 cnf(d23, plain, d(sK75), inference(resolution, [status(thm)], [d19,d22])). % 41.00/15.75 cnf(d24, plain, d(f7(X0)), inference(resolution, [status(thm)], [d23,d20])). % 41.00/15.75 cnf(d25, plain, false2 = f7(sK75), inference(resolution, [status(thm)], [d24,d4])). % 41.00/15.75 cnf(d26, plain, ~forallprefers(phi(X0),f7(sK75)) | ~bool(X0), inference(superposition, [status(thm)], [d8,c83])). % 41.00/15.75 cnf(d27, plain, ~forallprefers(X0,f7(sK75)) | ~bool(X0) | ~d(X0), inference(superposition, [status(thm)], [c39,d26])). % 41.00/15.75 cnf(d28, plain, ~bool(X0) | ~d(X0) | ~forallprefers(X0,false2), inference(demodulation, [status(thm)], [d27,d25])). % 41.00/15.75 cnf(d29, plain, ~bool(false) | ~d(false) | false2 = false | ~bool(false2), inference(resolution, [status(thm)], [d28,d3])). % 41.00/15.75 cnf(d30, plain, false2 = false | ~bool(false) | ~bool(false2), inference(resolution, [status(thm)], [c7,d29])). % 41.00/15.75 cnf(d31, plain, false2 = false | ~bool(false2), inference(resolution, [status(thm)], [d18,d30])). % 41.00/15.75 cnf(d32, plain, false2 = phi(phi(sK75)) | ~bool(sK75), inference(superposition, [status(thm)], [d8,c82])). % 41.00/15.75 cnf(d33, plain, false2 = phi(sK75) | ~bool(sK75) | ~d(sK75), inference(superposition, [status(thm)], [c39,d32])). % 41.00/15.75 cnf(d34, plain, false2 = sK75 | ~d(sK75) | ~bool(sK75) | ~d(sK75), inference(superposition, [status(thm)], [d33,c39])). % 41.00/15.75 cnf(d35, plain, false2 = sK75 | ~d(sK75), inference(resolution, [status(thm)], [d19,d34])). % 41.00/15.75 cnf(d36, plain, false2 = sK75, inference(resolution, [status(thm)], [d23,d35])). % 41.00/15.75 cnf(d37, plain, bool(false2), inference(demodulation, [status(thm)], [d19,d36])). % 41.00/15.75 cnf(d38, plain, false2 = false, inference(resolution, [status(thm)], [d37,d31])). % 41.00/15.75 cnf(d39, plain, false != false2, inference(demodulation, [status(thm)], [c88,c80])). % 41.00/15.75 cnf(d40, plain, false != false, inference(demodulation, [status(thm)], [d39,d38])). % 41.00/15.75 cnf(d41, plain, $false, inference(equality_resolution, [status(thm)], [d40])). % 41.00/15.75 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------