%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWW102+1 : TPTP v9.3.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n002.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 28.76s 4.35s % Output : CNFRefutation 28.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWW102+1 : TPTP v9.3.1. Released v5.2.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.36 % Computer : n002.cluster.edu % 0.12/0.36 % Model : x86_64 x86_64 % 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.36 % Memory : 8046.5625MB % 0.12/0.36 % OS : Linux 6.8.0-71-generic % 0.12/0.36 % CPULimit : 300 % 0.12/0.36 % WCLimit : 300 % 0.12/0.36 % DateTime : Sat Sep 26 15:26:52 UTC 2026 % 0.12/0.37 % CPUTime : % 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 28.76/4.35 % SZS status Theorem for theBenchmark.p % 28.76/4.35 % SZS output start CNFRefutation for theBenchmark.p % 28.76/4.35 fof(def_bool, axiom, ! [X0] : ((bool(X0) <=> (X0 = false | X0 = true)))). % 28.76/4.35 fof(false_true_err_in_d, axiom, (d(true) & (d(false) & d(err)))). % 28.76/4.35 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)))))). % 28.76/4.35 fof(def_phi, axiom, ! [X0] : (((d(X0) & phi(X0) = X0) | (~d(X0) & phi(X0) = err)))). % 28.76/4.35 fof(prop_true, axiom, ! [X0] : ((prop(X0) = true <=> bool(X0)))). % 28.76/4.35 fof(prop_false, axiom, ! [X0] : ((prop(X0) = false <=> ~bool(X0)))). % 28.76/4.35 fof(impl_axiom1, axiom, ! [X0] : ! [X1] : ((~bool(X0) => impl(X0,X1) = phi(X0)))). % 28.76/4.35 fof(impl_axiom3, axiom, ! [X0] : ((bool(X0) => impl(false,X0) = true))). % 28.76/4.35 fof(impl_axiom4, axiom, ! [X0] : ((bool(X0) => impl(true,X0) = X0))). % 28.76/4.35 fof(lazy_impl_axiom2, axiom, ! [X0] : 'lazy$uimpl'(false,X0) = true). % 28.76/4.35 fof(lazy_impl_axiom3, axiom, ! [X0] : 'lazy$uimpl'(true,X0) = phi(X0)). % 28.76/4.35 fof(def_f7, axiom, ! [X0] : f7(X0) = 'lazy$uimpl'(prop(X0),X0)). % 28.76/4.35 fof(def_false2, axiom, ? [X0] : ((false2 = phi(f7(X0)) & ~? [X1] : forallprefers(f7(X1),f7(X0))))). % 28.76/4.35 fof(not1_axiom1, axiom, ! [X0] : ((~bool(X0) => not1(X0) = phi(X0)))). % 28.76/4.35 fof(not1_axiom2, axiom, not1(false) = true). % 28.76/4.35 fof(not1_axiom3, axiom, not1(true) = false). % 28.76/4.35 fof(def_not2, axiom, ! [X0] : not2(X0) = impl(X0,false2)). % 28.76/4.35 fof(not1_not2, conjecture, ! [X0] : not1(X0) = not2(X0)). % 28.76/4.35 fof(negated_conjecture, negated_conjecture, ~! [X0] : not1(X0) = not2(X0), inference(negate_conjecture, [status(cth)], [not1_not2])). % 28.76/4.35 cnf(c0, plain, ~bool(X0) | X0 = false | X0 = true, inference(clausification, [status(esa)], [def_bool])). % 28.76/4.35 cnf(c1, plain, bool(X0) | X0 != false, inference(clausification, [status(esa)], [def_bool])). % 28.76/4.35 cnf(c6, plain, d(true), inference(clausification, [status(esa)], [false_true_err_in_d])). % 28.76/4.35 cnf(c7, plain, d(false), inference(clausification, [status(esa)], [false_true_err_in_d])). % 28.76/4.35 cnf(c10, plain, forallprefers(X0,X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [def_forallprefers])). % 28.76/4.35 cnf(c20, plain, X0(X1,X2) | d(X1) | ~d(X2), inference(clausification, [status(esa)], [def_forallprefers])). % 28.76/4.35 cnf(c22, plain, X0(X1,X2) | X1 != false | X2 != true, inference(clausification, [status(esa)], [def_forallprefers])). % 28.76/4.35 cnf(c39, plain, phi(X0) = X0 | ~d(X0), inference(clausification, [status(esa)], [def_phi])). % 28.76/4.35 cnf(c42, plain, prop(X0) = true | ~bool(X0), inference(clausification, [status(esa)], [prop_true])). % 28.76/4.35 cnf(c44, plain, prop(X0) = false | bool(X0), inference(clausification, [status(esa)], [prop_false])). % 28.76/4.35 cnf(c45, plain, bool(X0) | impl(X0,X1) = phi(X0), inference(clausification, [status(esa)], [impl_axiom1])). % 28.76/4.35 cnf(c47, plain, ~bool(X0) | impl(false,X0) = true, inference(clausification, [status(esa)], [impl_axiom3])). % 28.76/4.35 cnf(c48, plain, ~bool(X0) | impl(true,X0) = X0, inference(clausification, [status(esa)], [impl_axiom4])). % 28.76/4.35 cnf(c50, plain, 'lazy$uimpl'(false,X0) = true, inference(clausification, [status(esa)], [lazy_impl_axiom2])). % 28.76/4.35 cnf(c51, plain, 'lazy$uimpl'(true,X0) = phi(X0), inference(clausification, [status(esa)], [lazy_impl_axiom3])). % 28.76/4.35 cnf(c81, plain, f7(X0) = 'lazy$uimpl'(prop(X0),X0), inference(clausification, [status(esa)], [def_f7])). % 28.76/4.35 cnf(c82, plain, false2 = phi(f7(sK75)), inference(clausification, [status(esa)], [def_false2])). % 28.76/4.35 cnf(c83, plain, ~forallprefers(f7(X0),f7(sK75)), inference(clausification, [status(esa)], [def_false2])). % 28.76/4.35 cnf(c84, plain, bool(X0) | not1(X0) = phi(X0), inference(clausification, [status(esa)], [not1_axiom1])). % 28.76/4.35 cnf(c85, plain, not1(false) = true, inference(clausification, [status(esa)], [not1_axiom2])). % 28.76/4.35 cnf(c86, plain, not1(true) = false, inference(clausification, [status(esa)], [not1_axiom3])). % 28.76/4.35 cnf(c87, plain, not2(X0) = impl(X0,false2), inference(clausification, [status(esa)], [def_not2])). % 28.76/4.35 cnf(c88, plain, not1(sK79) != not2(sK79), inference(clausification, [status(esa)], [negated_conjecture])). % 28.76/4.35 cnf(d0, plain, not2(false) = true | ~bool(false2), inference(superposition, [status(thm)], [c47,c87])). % 28.76/4.35 cnf(d1, plain, f7(X0) = 'lazy$uimpl'(true,X0) | ~bool(X0), inference(superposition, [status(thm)], [c42,c81])). % 28.76/4.35 cnf(d2, plain, f7(X0) = phi(X0) | ~bool(X0), inference(demodulation, [status(thm)], [d1,c51])). % 28.76/4.35 cnf(d3, plain, false2 = phi(phi(sK75)) | ~bool(sK75), inference(superposition, [status(thm)], [d2,c82])). % 28.76/4.35 cnf(d4, plain, false2 = phi(sK75) | ~bool(sK75) | ~d(sK75), inference(superposition, [status(thm)], [c39,d3])). % 28.76/4.35 cnf(d5, plain, false2 = sK75 | ~d(sK75) | ~bool(sK75) | ~d(sK75), inference(superposition, [status(thm)], [d4,c39])). % 28.76/4.35 cnf(d6, plain, X0 != true | 'Ts2'(false,X0), inference(equality_resolution, [status(thm)], [c22])). % 28.76/4.35 cnf(d7, plain, 'Ts2'(false,true), inference(equality_resolution, [status(thm)], [d6])). % 28.76/4.35 cnf(d8, plain, forallprefers(false,true), inference(resolution, [status(thm)], [d7,c10])). % 28.76/4.35 cnf(d9, plain, f7(X0) = 'lazy$uimpl'(false,X0) | bool(X0), inference(superposition, [status(thm)], [c44,c81])). % 28.76/4.35 cnf(d10, plain, f7(X0) = true | bool(X0), inference(demodulation, [status(thm)], [d9,c50])). % 28.76/4.35 cnf(d11, plain, ~forallprefers(f7(X0),true) | bool(sK75), inference(superposition, [status(thm)], [d10,c83])). % 28.76/4.35 cnf(d12, plain, ~forallprefers(phi(X0),true) | bool(sK75) | ~bool(X0), inference(superposition, [status(thm)], [d2,d11])). % 28.76/4.35 cnf(d13, plain, ~forallprefers(X0,true) | ~bool(X0) | bool(sK75) | ~d(X0), inference(superposition, [status(thm)], [c39,d12])). % 28.76/4.35 cnf(d14, plain, ~bool(false) | bool(sK75) | ~d(false), inference(resolution, [status(thm)], [d13,d8])). % 28.76/4.35 cnf(d15, plain, ~bool(false) | bool(sK75), inference(resolution, [status(thm)], [c7,d14])). % 28.76/4.35 cnf(d16, plain, bool(false), inference(equality_resolution, [status(thm)], [c1])). % 28.76/4.35 cnf(d17, plain, bool(sK75), inference(resolution, [status(thm)], [d16,d15])). % 28.76/4.35 cnf(d18, plain, false2 = sK75 | ~d(sK75), inference(resolution, [status(thm)], [d17,d5])). % 28.76/4.35 cnf(d19, plain, d(X0) | X0 = false | ~bool(X0), inference(superposition, [status(thm)], [c0,c6])). % 28.76/4.35 cnf(d20, plain, d(X0) | ~bool(X0) | d(X0), inference(superposition, [status(thm)], [d19,c7])). % 28.76/4.35 cnf(d21, plain, d(sK75), inference(resolution, [status(thm)], [d17,d20])). % 28.76/4.35 cnf(d22, plain, false2 = sK75, inference(resolution, [status(thm)], [d21,d18])). % 28.76/4.35 cnf(d23, plain, bool(false2), inference(demodulation, [status(thm)], [d17,d22])). % 28.76/4.35 cnf(d24, plain, not2(false) = true, inference(resolution, [status(thm)], [d23,d0])). % 28.76/4.35 cnf(d25, plain, forallprefers(false,X0) | X0 = false | ~bool(X0), inference(superposition, [status(thm)], [c0,d8])). % 28.76/4.35 cnf(d26, plain, false2 = f7(sK75) | ~d(f7(sK75)), inference(superposition, [status(thm)], [c39,c82])). % 28.76/4.35 cnf(d27, plain, d(X0) | ~d(X1) | forallprefers(X0,X1), inference(resolution, [status(thm)], [c20,c10])). % 28.76/4.35 cnf(d28, plain, ~d(f7(sK75)) | d(f7(X0)), inference(resolution, [status(thm)], [d27,c83])). % 28.76/4.35 cnf(d29, plain, ~d(phi(sK75)) | d(f7(X0)) | ~bool(sK75), inference(superposition, [status(thm)], [d2,d28])). % 28.76/4.35 cnf(d30, plain, ~d(sK75) | ~bool(sK75) | d(f7(X0)) | ~d(sK75), inference(superposition, [status(thm)], [c39,d29])). % 28.76/4.35 cnf(d31, plain, d(f7(X0)) | ~d(sK75), inference(resolution, [status(thm)], [d17,d30])). % 28.76/4.35 cnf(d32, plain, d(f7(X0)), inference(resolution, [status(thm)], [d21,d31])). % 28.76/4.35 cnf(d33, plain, false2 = f7(sK75), inference(resolution, [status(thm)], [d32,d26])). % 28.76/4.35 cnf(d34, plain, ~forallprefers(phi(X0),f7(sK75)) | ~bool(X0), inference(superposition, [status(thm)], [d2,c83])). % 28.76/4.35 cnf(d35, plain, ~forallprefers(X0,f7(sK75)) | ~bool(X0) | ~d(X0), inference(superposition, [status(thm)], [c39,d34])). % 28.76/4.35 cnf(d36, plain, ~bool(X0) | ~d(X0) | ~forallprefers(X0,false2), inference(demodulation, [status(thm)], [d35,d33])). % 28.76/4.35 cnf(d37, plain, ~bool(false) | ~d(false) | false2 = false | ~bool(false2), inference(resolution, [status(thm)], [d36,d25])). % 28.76/4.35 cnf(d38, plain, false2 = false | ~bool(false) | ~bool(false2), inference(resolution, [status(thm)], [c7,d37])). % 28.76/4.35 cnf(d39, plain, false2 = false | ~bool(false2), inference(resolution, [status(thm)], [d16,d38])). % 28.76/4.35 cnf(d40, plain, false2 = false, inference(resolution, [status(thm)], [d23,d39])). % 28.76/4.35 cnf(d41, plain, not2(true) = false2 | ~bool(false2), inference(superposition, [status(thm)], [c48,c87])). % 28.76/4.35 cnf(d42, plain, not2(true) = false2, inference(resolution, [status(thm)], [d23,d41])). % 28.76/4.35 cnf(d43, plain, not2(X0) = false2 | X0 = false | ~bool(X0), inference(superposition, [status(thm)], [c0,d42])). % 28.76/4.35 cnf(d44, plain, not1(sK79) != false2 | sK79 = false | ~bool(sK79), inference(superposition, [status(thm)], [d43,c88])). % 28.76/4.35 cnf(d45, plain, not2(X0) = phi(X0) | bool(X0), inference(superposition, [status(thm)], [c45,c87])). % 28.76/4.35 cnf(d46, plain, not1(sK79) != phi(sK79) | bool(sK79), inference(superposition, [status(thm)], [d45,c88])). % 28.76/4.35 cnf(d47, plain, phi(sK79) != phi(sK79) | bool(sK79) | bool(sK79), inference(superposition, [status(thm)], [c84,d46])). % 28.76/4.35 cnf(d48, plain, bool(sK79), inference(equality_resolution, [status(thm)], [d47])). % 28.76/4.35 cnf(d49, plain, not1(sK79) != false2 | sK79 = false, inference(resolution, [status(thm)], [d48,d44])). % 28.76/4.35 cnf(d50, plain, not1(X0) = false | X0 = false | ~bool(X0), inference(superposition, [status(thm)], [c0,c86])). % 28.76/4.35 cnf(d51, plain, false != false2 | sK79 = false | sK79 = false | ~bool(sK79), inference(superposition, [status(thm)], [d50,d49])). % 28.76/4.35 cnf(d52, plain, false != false2 | sK79 = false, inference(resolution, [status(thm)], [d48,d51])). % 28.76/4.35 cnf(d53, plain, false != false | sK79 = false, inference(demodulation, [status(thm)], [d52,d40])). % 28.76/4.35 cnf(d54, plain, sK79 = false, inference(equality_resolution, [status(thm)], [d53])). % 28.76/4.35 cnf(d55, plain, not1(false) != not2(sK79), inference(demodulation, [status(thm)], [c88,d54])). % 28.76/4.35 cnf(d56, plain, not1(false) != not2(false), inference(demodulation, [status(thm)], [d55,d54])). % 28.76/4.35 cnf(d57, plain, true != not2(false), inference(demodulation, [status(thm)], [d56,c85])). % 28.76/4.35 cnf(d58, plain, true != true, inference(demodulation, [status(thm)], [d57,d24])). % 28.76/4.35 cnf(d59, plain, $false, inference(equality_resolution, [status(thm)], [d58])). % 28.76/4.35 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------