%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN036+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 09:20:53 AM UTC 2026
% Result : Theorem 8.90s 7.73s
% Output : CNFRefutation 8.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN036+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n004.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sat Sep 26 17:04:56 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.90/7.73 % SZS status Theorem for theBenchmark.p
% 8.90/7.73 % SZS output start CNFRefutation for theBenchmark.p
% 8.90/7.73 fof(pel34, conjecture, ((? [X0] : ! [X1] : (('big$up'(X0) <=> 'big$up'(X1))) <=> (? [X2] : 'big$uq'(X2) <=> ! [X3] : 'big$up'(X3))) <=> (? [X4] : ! [X5] : (('big$uq'(X4) <=> 'big$uq'(X5))) <=> (? [X6] : 'big$up'(X6) <=> ! [X7] : 'big$uq'(X7))))).
% 8.90/7.73 fof(negated_conjecture, negated_conjecture, ~(((? [X0] : ! [X1] : (('big$up'(X0) <=> 'big$up'(X1))) <=> (? [X2] : 'big$uq'(X2) <=> ! [X3] : 'big$up'(X3))) <=> (? [X4] : ! [X5] : (('big$uq'(X4) <=> 'big$uq'(X5))) <=> (? [X6] : 'big$up'(X6) <=> ! [X7] : 'big$uq'(X7))))), inference(negate_conjecture, [status(cth)], [pel34])).
% 8.90/7.73 cnf(c1, plain, X0 | X1, inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c2, plain, ~X0 | ~X1, inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c4, plain, ~X0 | ~'big$up'(sK4) | 'big$up'(X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c5, plain, ~X0 | 'big$up'(sK4) | ~'big$up'(X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c7, plain, X0 | 'big$up'(X1) | 'big$up'(sK7(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c8, plain, X0 | ~'big$up'(sK7(X1)) | ~'big$up'(X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c10, plain, ~X0 | ~'big$uq'(sK8) | 'big$uq'(X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c11, plain, ~X0 | 'big$uq'(sK8) | ~'big$uq'(X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c13, plain, X0 | 'big$uq'(X1) | 'big$uq'(sK11(X1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c14, plain, X0 | ~'big$uq'(sK11(X1)) | ~'big$uq'(X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c16, plain, ~X0 | ~X1 | ~'big$uq'(X2) | 'big$up'(X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c17, plain, ~X0 | ~X1 | 'big$uq'(sK14) | ~'big$up'(sK15), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c19, plain, ~X0 | X1 | 'big$uq'(sK16) | 'big$up'(X2), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c20, plain, ~X0 | X1 | ~'big$up'(sK17) | ~'big$uq'(X2), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c23, plain, X0 | X1 | ~'big$uq'(X2) | 'big$up'(X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c24, plain, X0 | X1 | 'big$uq'(sK26) | ~'big$up'(sK27), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c25, plain, X0 | 'big$uq'(sK20) | ~'big$uq'(X1) | ~X2, inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c28, plain, X0 | 'big$uq'(sK20) | 'big$up'(X1) | ~X2, inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c31, plain, X0 | ~'big$up'(sK21) | ~'big$uq'(X1) | ~X2, inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c37, plain, ~X0 | ~X1 | ~'big$up'(X2) | 'big$uq'(X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c38, plain, ~X0 | ~X1 | 'big$up'(sK30) | ~'big$uq'(sK31), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c40, plain, ~X0 | X1 | 'big$up'(sK32) | 'big$uq'(X2), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c44, plain, X0 | X1 | ~'big$up'(X2) | 'big$uq'(X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c46, plain, X0 | 'big$up'(sK36) | ~'big$up'(X1) | ~X2, inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c49, plain, X0 | 'big$up'(sK36) | 'big$uq'(X1) | ~X2, inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(c52, plain, X0 | ~'big$uq'(sK37) | ~'big$up'(X1) | ~X2, inference(clausification, [status(esa)], [negated_conjecture])).
% 8.90/7.73 cnf(d0, plain, ~'Ts2' | ~'Ts0' | 'big$up'(X0) | 'big$uq'(X1) | 'Ts1', inference(resolution, [status(thm)], [c16,c13])).
% 8.90/7.73 cnf(d1, plain, ~'Ts2' | ~'Ts0' | 'big$uq'(X0) | 'Ts1' | 'Ts3' | 'big$uq'(X1) | 'Ts1', inference(resolution, [status(thm)], [d0,c44])).
% 8.90/7.73 cnf(d2, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | 'big$uq'(X0) | 'Ts1', inference(factoring, [status(thm)], [d1])).
% 8.90/7.73 cnf(d3, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | 'Ts1' | ~'big$uq'(X0) | 'Ts1', inference(resolution, [status(thm)], [d2,c14])).
% 8.90/7.73 cnf(d4, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | 'Ts1' | ~'Ts2' | 'Ts3' | ~'Ts0' | 'Ts1', inference(resolution, [status(thm)], [d3,d2])).
% 8.90/7.73 cnf(d5, plain, 'Ts2' | 'Ts0' | 'big$up'(X0) | 'big$uq'(X1) | 'Ts1', inference(resolution, [status(thm)], [c23,c13])).
% 8.90/7.73 cnf(d6, plain, 'Ts2' | 'Ts0' | 'big$uq'(X0) | 'Ts1' | 'Ts2' | 'Ts0' | 'big$uq'(sK26), inference(resolution, [status(thm)], [d5,c24])).
% 8.90/7.73 cnf(d7, plain, 'Ts2' | 'Ts0' | 'big$uq'(sK26) | 'Ts1', inference(factoring, [status(thm)], [d6])).
% 8.90/7.73 cnf(d8, plain, 'Ts2' | 'Ts0' | 'Ts1' | 'Ts2' | 'Ts0' | 'big$up'(X0), inference(resolution, [status(thm)], [d7,c23])).
% 8.90/7.73 cnf(d9, plain, 'Ts2' | 'Ts0' | 'Ts1' | 'Ts0' | ~'big$up'(X0), inference(resolution, [status(thm)], [d8,c8])).
% 8.90/7.73 cnf(d10, plain, 'Ts2' | 'Ts0' | 'Ts1' | 'Ts2' | 'Ts0' | 'Ts1', inference(resolution, [status(thm)], [d9,d8])).
% 8.90/7.73 cnf(d11, plain, ~'Ts3' | 'big$uq'(X0) | ~'Ts1' | 'Ts0' | 'big$up'(X1), inference(resolution, [status(thm)], [c37,c7])).
% 8.90/7.73 cnf(d12, plain, ~'Ts3' | 'Ts0' | 'big$uq'(X0) | ~'Ts1' | ~'Ts3' | 'big$uq'(X1) | ~'Ts1', inference(resolution, [status(thm)], [d11,c37])).
% 8.90/7.73 cnf(d13, plain, ~'Ts3' | 'Ts0' | 'big$uq'(X0) | ~'Ts1', inference(factoring, [status(thm)], [d12])).
% 8.90/7.73 cnf(d14, plain, ~'Ts3' | 'Ts0' | ~'Ts1' | 'Ts2' | 'Ts0' | 'big$up'(X0), inference(resolution, [status(thm)], [d13,c23])).
% 8.90/7.73 cnf(d15, plain, 'Ts2' | ~'Ts3' | 'Ts0' | ~'Ts1' | 'Ts0' | ~'big$up'(X0), inference(resolution, [status(thm)], [d14,c8])).
% 8.90/7.73 cnf(d16, plain, 'Ts2' | ~'Ts3' | 'Ts0' | ~'Ts1' | 'Ts2' | ~'Ts3' | 'Ts0' | ~'Ts1', inference(resolution, [status(thm)], [d15,d14])).
% 8.90/7.73 cnf(d17, plain, 'Ts2' | ~'Ts3' | 'Ts0' | 'Ts2' | 'Ts0', inference(resolution, [status(thm)], [d16,d10])).
% 8.90/7.73 cnf(d18, plain, 'Ts2' | 'Ts0' | 'Ts2', inference(resolution, [status(thm)], [d17,c1])).
% 8.90/7.73 cnf(d19, plain, ~'Ts3' | 'big$uq'(X0) | ~'Ts1' | 'Ts2' | ~'Ts0' | 'big$uq'(sK20), inference(resolution, [status(thm)], [c37,c28])).
% 8.90/7.73 cnf(d20, plain, 'Ts2' | ~'Ts3' | ~'Ts0' | 'big$uq'(sK20) | ~'Ts1' | 'Ts2' | ~'Ts0' | 'big$uq'(sK20), inference(resolution, [status(thm)], [d19,c25])).
% 8.90/7.73 cnf(d21, plain, 'Ts2' | ~'Ts3' | ~'Ts0' | ~'Ts1' | 'Ts2' | ~'Ts0' | ~'big$up'(sK21), inference(resolution, [status(thm)], [d20,c31])).
% 8.90/7.73 cnf(d22, plain, 'Ts2' | ~'Ts3' | ~'Ts0' | ~'Ts1' | 'big$uq'(sK8) | ~'Ts1', inference(resolution, [status(thm)], [d20,c11])).
% 8.90/7.73 cnf(d23, plain, 'Ts2' | ~'Ts3' | ~'Ts0' | ~'Ts1' | 'big$uq'(X0) | ~'Ts1', inference(resolution, [status(thm)], [d22,c10])).
% 8.90/7.73 cnf(d24, plain, 'Ts2' | ~'Ts3' | ~'Ts0' | ~'Ts1' | ~'Ts3' | 'big$up'(sK30) | ~'Ts1', inference(resolution, [status(thm)], [d23,c38])).
% 8.90/7.73 cnf(d25, plain, 'Ts2' | ~'Ts3' | ~'Ts0' | ~'Ts1' | ~'Ts0' | 'big$up'(sK4), inference(resolution, [status(thm)], [d24,c5])).
% 8.90/7.73 cnf(d26, plain, 'Ts2' | ~'Ts3' | ~'Ts0' | ~'Ts1' | ~'Ts0' | 'big$up'(X0), inference(resolution, [status(thm)], [d25,c4])).
% 8.90/7.73 cnf(d27, plain, 'Ts2' | ~'Ts3' | ~'Ts0' | ~'Ts1' | 'Ts2' | ~'Ts3' | ~'Ts0' | ~'Ts1', inference(resolution, [status(thm)], [d26,d21])).
% 8.90/7.73 cnf(d28, plain, ~'big$uq'(X0) | 'Ts1' | ~'Ts3' | 'big$up'(sK32) | 'Ts1', inference(resolution, [status(thm)], [c14,c40])).
% 8.90/7.73 cnf(d29, plain, ~'Ts3' | 'big$up'(sK32) | 'Ts1' | ~'Ts3' | 'big$up'(sK32) | 'Ts1', inference(resolution, [status(thm)], [d28,c40])).
% 8.90/7.73 cnf(d30, plain, ~'Ts3' | 'Ts1' | ~'Ts0' | 'big$up'(sK4), inference(resolution, [status(thm)], [d29,c5])).
% 8.90/7.73 cnf(d31, plain, ~'Ts3' | ~'Ts0' | 'Ts1' | ~'Ts0' | 'big$up'(X0), inference(resolution, [status(thm)], [d30,c4])).
% 8.90/7.73 cnf(d32, plain, 'Ts2' | ~'Ts0' | 'big$uq'(sK20) | 'big$uq'(X0) | 'Ts1', inference(resolution, [status(thm)], [c25,c13])).
% 8.90/7.73 cnf(d33, plain, 'Ts2' | ~'Ts0' | 'big$uq'(sK20) | 'Ts1' | 'Ts2' | ~'Ts0' | 'big$uq'(sK20), inference(resolution, [status(thm)], [d32,c25])).
% 8.90/7.73 cnf(d34, plain, 'Ts2' | ~'Ts0' | 'Ts1' | 'Ts2' | ~'Ts0' | ~'big$up'(sK21), inference(resolution, [status(thm)], [d33,c31])).
% 8.90/7.73 cnf(d35, plain, 'Ts2' | ~'Ts0' | 'Ts1' | ~'Ts3' | ~'Ts0' | 'Ts1', inference(resolution, [status(thm)], [d34,d31])).
% 8.90/7.73 cnf(d36, plain, 'Ts2' | 'Ts2' | ~'Ts3' | 'Ts1', inference(resolution, [status(thm)], [d18,d35])).
% 8.90/7.73 cnf(d37, plain, 'Ts2' | 'Ts1' | 'Ts2', inference(resolution, [status(thm)], [d36,c1])).
% 8.90/7.73 cnf(d38, plain, 'Ts2' | 'Ts2' | ~'Ts3' | ~'Ts0', inference(resolution, [status(thm)], [d37,d27])).
% 8.90/7.73 cnf(d39, plain, 'Ts2' | ~'Ts3' | 'Ts2', inference(resolution, [status(thm)], [d38,d18])).
% 8.90/7.73 cnf(d40, plain, 'Ts2' | 'Ts2', inference(resolution, [status(thm)], [d39,c1])).
% 8.90/7.73 cnf(d41, plain, 'Ts3' | ~'Ts0' | 'Ts1', inference(resolution, [status(thm)], [d40,d4])).
% 8.90/7.73 cnf(d42, plain, ~'Ts3', inference(resolution, [status(thm)], [d40,c2])).
% 8.90/7.73 cnf(d43, plain, ~'Ts0' | 'Ts1', inference(resolution, [status(thm)], [d42,d41])).
% 8.90/7.73 cnf(d44, plain, ~'Ts2' | 'Ts0' | 'big$uq'(sK16) | 'Ts0' | ~'big$up'(X0), inference(resolution, [status(thm)], [c19,c8])).
% 8.90/7.73 cnf(d45, plain, ~'Ts2' | 'Ts0' | 'big$uq'(sK16) | ~'Ts2' | 'Ts0' | 'big$uq'(sK16), inference(resolution, [status(thm)], [d44,c19])).
% 8.90/7.73 cnf(d46, plain, ~'Ts2' | 'Ts0' | ~'Ts2' | 'Ts0' | ~'big$up'(sK17), inference(resolution, [status(thm)], [d45,c20])).
% 8.90/7.73 cnf(d47, plain, 'Ts3' | 'big$uq'(X0) | 'Ts1' | 'Ts0' | 'big$up'(X1), inference(resolution, [status(thm)], [c44,c7])).
% 8.90/7.73 cnf(d48, plain, 'Ts3' | 'Ts0' | 'big$uq'(X0) | 'Ts1' | ~'Ts2' | 'Ts0', inference(resolution, [status(thm)], [d47,d46])).
% 8.90/7.73 cnf(d49, plain, ~'Ts2' | 'Ts3' | 'Ts0' | 'Ts1' | ~'big$uq'(X0) | 'Ts1', inference(resolution, [status(thm)], [d48,c14])).
% 8.90/7.73 cnf(d50, plain, ~'Ts2' | 'Ts3' | 'Ts0' | 'Ts1' | ~'Ts2' | 'Ts3' | 'Ts0' | 'Ts1', inference(resolution, [status(thm)], [d49,d48])).
% 8.90/7.73 cnf(d51, plain, 'Ts3' | 'Ts0' | 'Ts1', inference(resolution, [status(thm)], [d40,d50])).
% 8.90/7.73 cnf(d52, plain, 'Ts0' | 'Ts1', inference(resolution, [status(thm)], [d42,d51])).
% 8.90/7.73 cnf(d53, plain, ~'Ts2' | 'Ts0' | 'big$uq'(sK8) | ~'Ts1', inference(resolution, [status(thm)], [d45,c11])).
% 8.90/7.73 cnf(d54, plain, ~'Ts2' | 'Ts0' | ~'Ts1' | 'big$uq'(X0) | ~'Ts1', inference(resolution, [status(thm)], [d53,c10])).
% 8.90/7.73 cnf(d55, plain, ~'Ts2' | 'Ts0' | ~'Ts1' | 'Ts3' | ~'big$up'(X0) | ~'Ts1', inference(resolution, [status(thm)], [d54,c52])).
% 8.90/7.73 cnf(d56, plain, ~'Ts2' | 'Ts3' | 'Ts0' | ~'Ts1' | 'Ts0' | 'big$up'(X0), inference(resolution, [status(thm)], [d55,c7])).
% 8.90/7.73 cnf(d57, plain, ~'Ts2' | 'Ts3' | 'Ts0' | ~'Ts1' | ~'Ts2' | 'Ts3' | 'Ts0' | ~'Ts1', inference(resolution, [status(thm)], [d56,d55])).
% 8.90/7.73 cnf(d58, plain, 'Ts3' | 'Ts0' | ~'Ts1', inference(resolution, [status(thm)], [d40,d57])).
% 8.90/7.73 cnf(d59, plain, 'Ts0' | ~'Ts1', inference(resolution, [status(thm)], [d42,d58])).
% 8.90/7.73 cnf(d60, plain, 'Ts0' | 'Ts0', inference(resolution, [status(thm)], [d59,d52])).
% 8.90/7.73 cnf(d61, plain, 'Ts1', inference(resolution, [status(thm)], [d60,d43])).
% 8.90/7.73 cnf(d62, plain, 'Ts3' | 'big$up'(sK36) | ~'Ts1' | ~'Ts2' | ~'Ts0' | 'big$up'(X0), inference(resolution, [status(thm)], [c49,c16])).
% 8.90/7.73 cnf(d63, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | 'big$up'(sK36) | ~'Ts1' | 'Ts3' | 'big$up'(sK36) | ~'Ts1', inference(resolution, [status(thm)], [d62,c46])).
% 8.90/7.73 cnf(d64, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | ~'Ts1' | ~'Ts0' | 'big$up'(sK4), inference(resolution, [status(thm)], [d63,c5])).
% 8.90/7.73 cnf(d65, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | ~'Ts1' | ~'Ts0' | 'big$up'(X0), inference(resolution, [status(thm)], [d64,c4])).
% 8.90/7.73 cnf(d66, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | ~'Ts1' | ~'Ts2' | ~'Ts0' | 'big$uq'(sK14), inference(resolution, [status(thm)], [d65,c17])).
% 8.90/7.73 cnf(d67, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | ~'Ts1' | 'big$uq'(sK8) | ~'Ts1', inference(resolution, [status(thm)], [d66,c11])).
% 8.90/7.73 cnf(d68, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | ~'Ts1' | 'big$uq'(X0) | ~'Ts1', inference(resolution, [status(thm)], [d67,c10])).
% 8.90/7.73 cnf(d69, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | ~'Ts1' | 'Ts3' | ~'big$up'(X0) | ~'Ts1', inference(resolution, [status(thm)], [d68,c52])).
% 8.90/7.73 cnf(d70, plain, ~'Ts2' | 'Ts3' | ~'Ts0' | ~'Ts1' | ~'Ts2' | 'Ts3' | ~'Ts0' | ~'Ts1', inference(resolution, [status(thm)], [d69,d65])).
% 8.90/7.73 cnf(d71, plain, 'Ts3' | ~'Ts0' | ~'Ts1', inference(resolution, [status(thm)], [d40,d70])).
% 8.90/7.73 cnf(d72, plain, ~'Ts0' | ~'Ts1', inference(resolution, [status(thm)], [d42,d71])).
% 8.90/7.73 cnf(d73, plain, ~'Ts1', inference(resolution, [status(thm)], [d60,d72])).
% 8.90/7.73 cnf(d74, plain, $false, inference(resolution, [status(thm)], [d73,d61])).
% 8.90/7.73 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------