%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% 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 07:45:17 AM UTC 2026
% Result : Theorem 17.37s 2.62s
% Output : CNFRefutation 17.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 19:42:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.37/2.62 % SZS status Theorem for theBenchmark.p
% 17.37/2.62 % SZS output start CNFRefutation for theBenchmark.p
% 17.37/2.62 fof(axiom_0, axiom, ! [X0] : ((cowlThing(X0) & ~cowlNothing(X0)))).
% 17.37/2.62 fof(axiom_1, axiom, ! [X0] : (('xsd$ustring'(X0) <=> ~'xsd$uinteger'(X0)))).
% 17.37/2.62 fof(axiom_2, axiom, ! [X0] : ! [X1] : ((rp(X0,X1) => cA(X1)))).
% 17.37/2.62 fof(axiom_3, axiom, ! [X0] : ! [X1] : ((rq(X0,X1) => cB(X1)))).
% 17.37/2.62 fof(axiom_4, axiom, ! [X0] : ~((cB(X0) & cA(X0)))).
% 17.37/2.62 fof(axiom_5, axiom, ! [X0] : ! [X1] : ((rq(X0,X1) => rr(X0,X1)))).
% 17.37/2.62 fof(axiom_6, axiom, ! [X0] : ! [X1] : ((rp(X0,X1) => rr(X0,X1)))).
% 17.37/2.62 fof(the_axiom, conjecture, (! [X0] : ((cowlThing(X0) & ~cowlNothing(X0))) & (! [X0] : (('xsd$ustring'(X0) <=> ~'xsd$uinteger'(X0))) & ! [X0] : (((? [X1] : ? [X2] : ((rp(X0,X1) & (rp(X0,X2) & X1 != X2))) & ? [X1] : ? [X2] : ? [X3] : ((rq(X0,X1) & (rq(X0,X2) & (rq(X0,X3) & (X1 != X2 & (X1 != X3 & X2 != X3))))))) => ? [X1] : ? [X2] : ? [X3] : ? [X4] : ? [X5] : ((rr(X0,X1) & (rr(X0,X2) & (rr(X0,X3) & (rr(X0,X4) & (rr(X0,X5) & (X1 != X2 & (X1 != X3 & (X1 != X4 & (X1 != X5 & (X2 != X3 & (X2 != X4 & (X2 != X5 & (X3 != X4 & (X3 != X5 & X4 != X5)))))))))))))))))))).
% 17.37/2.62 fof(negated_conjecture, negated_conjecture, ~((! [X0] : ((cowlThing(X0) & ~cowlNothing(X0))) & (! [X0] : (('xsd$ustring'(X0) <=> ~'xsd$uinteger'(X0))) & ! [X0] : (((? [X1] : ? [X2] : ((rp(X0,X1) & (rp(X0,X2) & X1 != X2))) & ? [X1] : ? [X2] : ? [X3] : ((rq(X0,X1) & (rq(X0,X2) & (rq(X0,X3) & (X1 != X2 & (X1 != X3 & X2 != X3))))))) => ? [X1] : ? [X2] : ? [X3] : ? [X4] : ? [X5] : ((rr(X0,X1) & (rr(X0,X2) & (rr(X0,X3) & (rr(X0,X4) & (rr(X0,X5) & (X1 != X2 & (X1 != X3 & (X1 != X4 & (X1 != X5 & (X2 != X3 & (X2 != X4 & (X2 != X5 & (X3 != X4 & (X3 != X5 & X4 != X5)))))))))))))))))))), inference(negate_conjecture, [status(cth)], [the_axiom])).
% 17.37/2.62 cnf(c12, plain, cowlThing(X0), inference(clausification, [status(esa)], [axiom_0])).
% 17.37/2.62 cnf(c13, plain, ~cowlNothing(X0), inference(clausification, [status(esa)], [axiom_0])).
% 17.37/2.62 cnf(c14, plain, ~'xsd$ustring'(X0) | ~'xsd$uinteger'(X0), inference(clausification, [status(esa)], [axiom_1])).
% 17.37/2.62 cnf(c15, plain, 'xsd$ustring'(X0) | 'xsd$uinteger'(X0), inference(clausification, [status(esa)], [axiom_1])).
% 17.37/2.62 cnf(c16, plain, ~rp(X0,X1) | cA(X1), inference(clausification, [status(esa)], [axiom_2])).
% 17.37/2.62 cnf(c17, plain, ~rq(X0,X1) | cB(X1), inference(clausification, [status(esa)], [axiom_3])).
% 17.37/2.62 cnf(c18, plain, ~cB(X0) | ~cA(X0), inference(clausification, [status(esa)], [axiom_4])).
% 17.37/2.62 cnf(c19, plain, ~rq(X0,X1) | rr(X0,X1), inference(clausification, [status(esa)], [axiom_5])).
% 17.37/2.62 cnf(c20, plain, ~rp(X0,X1) | rr(X0,X1), inference(clausification, [status(esa)], [axiom_6])).
% 17.37/2.62 cnf(c22, plain, cowlNothing(sK42) | 'xsd$ustring'(sK43) | ~X0 | ~'xsd$uinteger'(sK43) | ~cowlThing(sK42), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c23, plain, cowlNothing(sK42) | 'xsd$uinteger'(sK43) | ~'xsd$ustring'(sK43) | ~X0 | ~cowlThing(sK42), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c25, plain, X0 | rp(sK44,sK45), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c26, plain, X0 | rp(sK44,sK46), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c27, plain, X0 | sK45 != sK46, inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c28, plain, X0 | rq(sK44,sK47), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c29, plain, X0 | rq(sK44,sK48), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c30, plain, X0 | rq(sK44,sK49), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c31, plain, X0 | sK47 != sK48, inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c32, plain, X0 | sK47 != sK49, inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c33, plain, X0 | sK48 != sK49, inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(c34, plain, X0 = X1 | X2 = X1 | X3 = X4 | ~rr(sK44,X3) | ~rr(sK44,X2) | X3 = X1 | ~rr(sK44,X0) | X0 = X2 | X5 | ~rr(sK44,X1) | X4 = X0 | X3 = X2 | X4 = X1 | X4 = X2 | X3 = X0 | ~rr(sK44,X4), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.37/2.62 cnf(d0, plain, cA(sK45) | 'Ts41', inference(resolution, [status(thm)], [c16,c25])).
% 17.37/2.62 cnf(d1, plain, cowlNothing(sK42) | 'xsd$uinteger'(sK43) | ~'xsd$ustring'(sK43) | ~'Ts41', inference(resolution, [status(thm)], [c12,c23])).
% 17.37/2.62 cnf(d2, plain, 'xsd$uinteger'(sK43) | ~'xsd$ustring'(sK43) | ~'Ts41', inference(resolution, [status(thm)], [c13,d1])).
% 17.37/2.62 cnf(d3, plain, 'xsd$uinteger'(sK43) | 'xsd$uinteger'(sK43) | ~'Ts41', inference(resolution, [status(thm)], [c15,d2])).
% 17.37/2.62 cnf(d4, plain, cowlNothing(sK42) | ~'xsd$uinteger'(sK43) | 'xsd$ustring'(sK43) | ~'Ts41', inference(resolution, [status(thm)], [c12,c22])).
% 17.37/2.62 cnf(d5, plain, ~'xsd$uinteger'(sK43) | 'xsd$ustring'(sK43) | ~'Ts41', inference(resolution, [status(thm)], [c13,d4])).
% 17.37/2.62 cnf(d6, plain, ~'Ts41' | 'xsd$ustring'(sK43) | ~'Ts41', inference(resolution, [status(thm)], [d3,d5])).
% 17.37/2.62 cnf(d7, plain, ~'Ts41' | ~'xsd$uinteger'(sK43), inference(resolution, [status(thm)], [d6,c14])).
% 17.37/2.62 cnf(d8, plain, ~'Ts41' | ~'Ts41', inference(resolution, [status(thm)], [d7,d3])).
% 17.37/2.62 cnf(d9, plain, cA(sK45), inference(resolution, [status(thm)], [d8,d0])).
% 17.37/2.62 cnf(d10, plain, cA(sK46) | 'Ts41', inference(resolution, [status(thm)], [c16,c26])).
% 17.37/2.62 cnf(d11, plain, cA(sK46), inference(resolution, [status(thm)], [d8,d10])).
% 17.37/2.62 cnf(d12, plain, sK45 != sK46, inference(resolution, [status(thm)], [d8,c27])).
% 17.37/2.62 cnf(d13, plain, rr(sK44,sK49) | 'Ts41', inference(resolution, [status(thm)], [c19,c30])).
% 17.37/2.62 cnf(d14, plain, rr(sK44,sK49), inference(resolution, [status(thm)], [d8,d13])).
% 17.37/2.62 cnf(d15, plain, rr(sK44,sK48) | 'Ts41', inference(resolution, [status(thm)], [c19,c29])).
% 17.37/2.62 cnf(d16, plain, rr(sK44,sK48), inference(resolution, [status(thm)], [d8,d15])).
% 17.37/2.62 cnf(d17, plain, rr(sK44,sK45) | 'Ts41', inference(resolution, [status(thm)], [c20,c25])).
% 17.37/2.62 cnf(d18, plain, rr(sK44,sK45), inference(resolution, [status(thm)], [d8,d17])).
% 17.37/2.62 cnf(d19, plain, rr(sK44,sK46) | 'Ts41', inference(resolution, [status(thm)], [c20,c26])).
% 17.37/2.62 cnf(d20, plain, rr(sK44,sK46), inference(resolution, [status(thm)], [d8,d19])).
% 17.37/2.62 cnf(d21, plain, X0 = X1 | X0 = X2 | X0 = X3 | X1 = X2 | X3 = X1 | X3 = X2 | X4 = X0 | X4 = X1 | X4 = X2 | X4 = X3 | ~rr(sK44,X0) | ~rr(sK44,X1) | ~rr(sK44,X2) | ~rr(sK44,X3) | ~rr(sK44,X4), inference(resolution, [status(thm)], [d8,c34])).
% 17.37/2.62 cnf(d22, plain, rr(sK44,sK47) | 'Ts41', inference(resolution, [status(thm)], [c19,c28])).
% 17.37/2.62 cnf(d23, plain, rr(sK44,sK47), inference(resolution, [status(thm)], [d8,d22])).
% 17.37/2.62 cnf(d24, plain, X0 = X1 | X0 = X2 | X0 = X3 | X0 = sK47 | X1 = X2 | X1 = X3 | X3 = X2 | sK47 = X1 | sK47 = X2 | sK47 = X3 | ~rr(sK44,X0) | ~rr(sK44,X1) | ~rr(sK44,X2) | ~rr(sK44,X3), inference(resolution, [status(thm)], [d23,d21])).
% 17.37/2.62 cnf(d25, plain, X0 = X1 | X2 = X0 | X2 = X1 | sK46 = X0 | sK46 = X1 | sK46 = X2 | sK46 = sK47 | sK47 = X0 | sK47 = X1 | sK47 = X2 | ~rr(sK44,X0) | ~rr(sK44,X1) | ~rr(sK44,X2), inference(resolution, [status(thm)], [d24,d20])).
% 17.37/2.62 cnf(d26, plain, X0 = X1 | X0 = sK45 | sK45 = X1 | sK46 = X0 | sK46 = X1 | sK46 = sK45 | sK46 = sK47 | sK47 = X0 | sK47 = X1 | sK47 = sK45 | ~rr(sK44,X0) | ~rr(sK44,X1), inference(resolution, [status(thm)], [d25,d18])).
% 17.37/2.62 cnf(d27, plain, sK48 = X0 | sK48 = sK45 | sK45 = X0 | sK46 = X0 | sK46 = sK48 | sK46 = sK45 | sK46 = sK47 | sK47 = X0 | sK47 = sK48 | sK47 = sK45 | ~rr(sK44,X0), inference(resolution, [status(thm)], [d26,d16])).
% 17.37/2.62 cnf(d28, plain, sK47 != sK48, inference(resolution, [status(thm)], [d8,c31])).
% 17.37/2.62 cnf(d29, plain, sK45 = X0 | sK46 = X0 | sK46 = sK45 | sK46 = sK47 | sK46 = sK48 | sK47 = X0 | sK47 = sK45 | sK48 = X0 | sK48 = sK45 | ~rr(sK44,X0), inference(resolution, [status(thm)], [d28,d27])).
% 17.37/2.62 cnf(d30, plain, sK45 = sK49 | sK46 = sK49 | sK46 = sK45 | sK46 = sK47 | sK46 = sK48 | sK47 = sK49 | sK47 = sK45 | sK48 = sK49 | sK48 = sK45, inference(resolution, [status(thm)], [d29,d14])).
% 17.37/2.62 cnf(d31, plain, sK47 != sK49, inference(resolution, [status(thm)], [d8,c32])).
% 17.37/2.62 cnf(d32, plain, sK45 = sK49 | sK46 = sK45 | sK46 = sK47 | sK46 = sK48 | sK46 = sK49 | sK47 = sK45 | sK48 = sK45 | sK48 = sK49, inference(resolution, [status(thm)], [d31,d30])).
% 17.37/2.62 cnf(d33, plain, sK48 != sK49, inference(resolution, [status(thm)], [d8,c33])).
% 17.37/2.62 cnf(d34, plain, sK45 = sK49 | sK46 = sK45 | sK46 = sK47 | sK46 = sK48 | sK46 = sK49 | sK47 = sK45 | sK48 = sK45, inference(resolution, [status(thm)], [d33,d32])).
% 17.37/2.62 cnf(d35, plain, sK45 != sK45 | sK45 = sK49 | sK46 = sK47 | sK46 = sK48 | sK46 = sK49 | sK47 = sK45 | sK48 = sK45, inference(superposition, [status(thm)], [d34,d12])).
% 17.37/2.62 cnf(d36, plain, sK45 = sK49 | sK46 = sK47 | sK46 = sK48 | sK46 = sK49 | sK47 = sK45 | sK48 = sK45, inference(equality_resolution, [status(thm)], [d35])).
% 17.37/2.62 cnf(d37, plain, cA(sK49) | sK45 = sK49 | sK46 = sK47 | sK46 = sK48 | sK47 = sK45 | sK48 = sK45, inference(superposition, [status(thm)], [d36,d11])).
% 17.37/2.62 cnf(d38, plain, cB(sK49) | 'Ts41', inference(resolution, [status(thm)], [c17,c30])).
% 17.37/2.62 cnf(d39, plain, cB(sK49), inference(resolution, [status(thm)], [d8,d38])).
% 17.37/2.62 cnf(d40, plain, ~cA(sK49), inference(resolution, [status(thm)], [d39,c18])).
% 17.37/2.62 cnf(d41, plain, sK45 = sK49 | sK46 = sK47 | sK46 = sK48 | sK47 = sK45 | sK48 = sK45, inference(resolution, [status(thm)], [d40,d37])).
% 17.37/2.62 cnf(d42, plain, cA(sK48) | sK45 = sK49 | sK46 = sK47 | sK47 = sK45 | sK48 = sK45, inference(superposition, [status(thm)], [d41,d11])).
% 17.37/2.62 cnf(d43, plain, cB(sK48) | 'Ts41', inference(resolution, [status(thm)], [c17,c29])).
% 17.37/2.62 cnf(d44, plain, cB(sK48), inference(resolution, [status(thm)], [d8,d43])).
% 17.37/2.62 cnf(d45, plain, ~cA(sK48), inference(resolution, [status(thm)], [d44,c18])).
% 17.37/2.62 cnf(d46, plain, sK45 = sK49 | sK46 = sK47 | sK47 = sK45 | sK48 = sK45, inference(resolution, [status(thm)], [d45,d42])).
% 17.37/2.62 cnf(d47, plain, cA(sK47) | sK45 = sK49 | sK47 = sK45 | sK48 = sK45, inference(superposition, [status(thm)], [d46,d11])).
% 17.37/2.62 cnf(d48, plain, cB(sK47) | 'Ts41', inference(resolution, [status(thm)], [c17,c28])).
% 17.37/2.62 cnf(d49, plain, cB(sK47), inference(resolution, [status(thm)], [d8,d48])).
% 17.37/2.62 cnf(d50, plain, ~cA(sK47), inference(resolution, [status(thm)], [d49,c18])).
% 17.37/2.62 cnf(d51, plain, sK45 = sK49 | sK47 = sK45 | sK48 = sK45, inference(resolution, [status(thm)], [d50,d47])).
% 17.37/2.62 cnf(d52, plain, cA(sK49) | sK47 = sK45 | sK48 = sK45, inference(superposition, [status(thm)], [d51,d9])).
% 17.37/2.62 cnf(d53, plain, sK47 = sK45 | sK48 = sK45, inference(resolution, [status(thm)], [d40,d52])).
% 17.37/2.62 cnf(d54, plain, cA(sK48) | sK47 = sK45, inference(superposition, [status(thm)], [d53,d9])).
% 17.37/2.62 cnf(d55, plain, sK47 = sK45, inference(resolution, [status(thm)], [d45,d54])).
% 17.37/2.62 cnf(d56, plain, cA(sK47), inference(demodulation, [status(thm)], [d9,d55])).
% 17.37/2.62 cnf(d57, plain, $false, inference(resolution, [status(thm)], [d50,d56])).
% 17.37/2.62 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------