%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO012+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 08:20:43 AM UTC 2026
% Result : Theorem 31.87s 4.65s
% Output : CNFRefutation 31.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PRO012+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n019.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 04:59:06 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.87/4.65 % SZS status Theorem for theBenchmark.p
% 31.87/4.65 % SZS output start CNFRefutation for theBenchmark.p
% 31.87/4.65 fof(sos, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('min$uprecedes'(X0,X1,X3) & 'min$uprecedes'(X1,X2,X3)) => 'min$uprecedes'(X0,X2,X3)))).
% 31.87/4.65 fof(sos_02, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X2,X3) & ('root$uocc'(X0,X2) & 'root$uocc'(X1,X2))) => X0 = X1))).
% 31.87/4.65 fof(sos_10, axiom, ! [X0] : ! [X1] : (('root$uocc'(X0,X1) <=> ? [X2] : (('occurrence$uof'(X1,X2) & ('subactivity$uoccurrence'(X0,X1) & root(X0,X2))))))).
% 31.87/4.65 fof(sos_15, axiom, ! [X0] : ! [X1] : ((atocc(X0,X1) <=> ? [X2] : ((subactivity(X1,X2) & (atomic(X2) & 'occurrence$uof'(X0,X2))))))).
% 31.87/4.65 fof(sos_18, axiom, ! [X0] : (('activity$uoccurrence'(X0) => ? [X1] : ((activity(X1) & 'occurrence$uof'(X0,X1)))))).
% 31.87/4.65 fof(sos_22, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X1) & 'occurrence$uof'(X0,X2)) => X1 = X2))).
% 31.87/4.65 fof(sos_27, axiom, ! [X0] : ! [X1] : ((root(X1,X0) => ? [X2] : ((subactivity(X2,X0) & atocc(X1,X2)))))).
% 31.87/4.65 fof(sos_29, axiom, ! [X0] : ! [X1] : (('occurrence$uof'(X1,X0) => (activity(X0) & 'activity$uoccurrence'(X1))))).
% 31.87/4.65 fof(sos_30, axiom, ! [X0] : ! [X1] : ((('occurrence$uof'(X1,X0) & ~atomic(X0)) => ? [X2] : ((root(X2,X0) & 'subactivity$uoccurrence'(X2,X1)))))).
% 31.87/4.65 fof(sos_32, axiom, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : ? [X3] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & ('occurrence$uof'(X2,tptp4) & ('min$uprecedes'(X1,X2,tptp0) & (('occurrence$uof'(X3,tptp2) | 'occurrence$uof'(X3,tptp1)) & ('min$uprecedes'(X2,X3,tptp0) & ! [X4] : (('min$uprecedes'(X1,X4,tptp0) => (X4 = X2 | X4 = X3))))))))))))).
% 31.87/4.65 fof(sos_34, axiom, ~atomic(tptp0)).
% 31.87/4.65 fof(goals, conjecture, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & (('occurrence$uof'(X2,tptp2) | 'occurrence$uof'(X2,tptp1)) & 'min$uprecedes'(X1,X2,tptp0)))))))).
% 31.87/4.65 fof(negated_conjecture, negated_conjecture, ~! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & (('occurrence$uof'(X2,tptp2) | 'occurrence$uof'(X2,tptp1)) & 'min$uprecedes'(X1,X2,tptp0))))))), inference(negate_conjecture, [status(cth)], [goals])).
% 31.87/4.65 cnf(c0, plain, ~'min$uprecedes'(X0,X1,X2) | ~'min$uprecedes'(X1,X3,X2) | 'min$uprecedes'(X0,X3,X2), inference(clausification, [status(esa)], [sos])).
% 31.87/4.65 cnf(c2, plain, ~'occurrence$uof'(X0,X1) | ~'root$uocc'(X2,X0) | ~'root$uocc'(X3,X0) | X2 = X3, inference(clausification, [status(esa)], [sos_02])).
% 31.87/4.65 cnf(c16, plain, ~'root$uocc'(X0,X1) | 'occurrence$uof'(X1,sK35(X0,X1)), inference(clausification, [status(esa)], [sos_10])).
% 31.87/4.65 cnf(c18, plain, ~'root$uocc'(X0,X1) | root(X0,sK35(X0,X1)), inference(clausification, [status(esa)], [sos_10])).
% 31.87/4.65 cnf(c19, plain, 'root$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~'subactivity$uoccurrence'(X0,X1) | ~root(X0,X2), inference(clausification, [status(esa)], [sos_10])).
% 31.87/4.65 cnf(c33, plain, ~atocc(X0,X1) | 'occurrence$uof'(X0,sK53(X0,X1)), inference(clausification, [status(esa)], [sos_15])).
% 31.87/4.65 cnf(c38, plain, ~'activity$uoccurrence'(X0) | 'occurrence$uof'(X0,sK59(X0)), inference(clausification, [status(esa)], [sos_18])).
% 31.87/4.65 cnf(c43, plain, ~'occurrence$uof'(X0,X1) | ~'occurrence$uof'(X0,X2) | X1 = X2, inference(clausification, [status(esa)], [sos_22])).
% 31.87/4.65 cnf(c56, plain, ~root(X0,X1) | atocc(X0,sK90(X1,X0)), inference(clausification, [status(esa)], [sos_27])).
% 31.87/4.65 cnf(c59, plain, ~'occurrence$uof'(X0,X1) | 'activity$uoccurrence'(X0), inference(clausification, [status(esa)], [sos_29])).
% 31.87/4.65 cnf(c60, plain, ~'occurrence$uof'(X0,X1) | atomic(X1) | root(sK99(X1,X0),X1), inference(clausification, [status(esa)], [sos_30])).
% 31.87/4.65 cnf(c61, plain, ~'occurrence$uof'(X0,X1) | atomic(X1) | 'subactivity$uoccurrence'(sK99(X1,X0),X0), inference(clausification, [status(esa)], [sos_30])).
% 31.87/4.65 cnf(c63, plain, ~'occurrence$uof'(X0,tptp0) | X1(X0), inference(clausification, [status(esa)], [sos_32])).
% 31.87/4.65 cnf(c64, plain, ~X0(X1) | 'occurrence$uof'(sK103(X1),tptp3), inference(clausification, [status(esa)], [sos_32])).
% 31.87/4.65 cnf(c65, plain, ~X0(X1) | 'root$uocc'(sK103(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 31.87/4.65 cnf(c67, plain, ~X0(X1) | 'min$uprecedes'(sK103(X1),sK104(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 31.87/4.65 cnf(c68, plain, ~X0(X1) | 'occurrence$uof'(sK105(X1),tptp2) | 'occurrence$uof'(sK105(X1),tptp1), inference(clausification, [status(esa)], [sos_32])).
% 31.87/4.65 cnf(c69, plain, ~X0(X1) | 'min$uprecedes'(sK104(X1),sK105(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 31.87/4.65 cnf(c72, plain, ~atomic(tptp0), inference(clausification, [status(esa)], [sos_34])).
% 31.87/4.65 cnf(c83, plain, 'occurrence$uof'(sK107,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 31.87/4.65 cnf(c84, plain, ~'occurrence$uof'(X0,tptp3) | ~'root$uocc'(X0,sK107) | ~'occurrence$uof'(X1,tptp2) | ~'min$uprecedes'(X0,X1,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 31.87/4.65 cnf(c85, plain, ~'occurrence$uof'(X0,tptp3) | ~'root$uocc'(X0,sK107) | ~'occurrence$uof'(X1,tptp1) | ~'min$uprecedes'(X0,X1,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 31.87/4.65 cnf(d0, plain, ~'Ts101'(X0) | 'min$uprecedes'(X1,sK105(X0),tptp0) | ~'min$uprecedes'(X1,sK104(X0),tptp0), inference(resolution, [status(thm)], [c69,c0])).
% 31.87/4.65 cnf(d1, plain, 'min$uprecedes'(sK103(X0),sK105(X0),tptp0) | ~'Ts101'(X0) | ~'Ts101'(X0), inference(resolution, [status(thm)], [d0,c67])).
% 31.87/4.65 cnf(d2, plain, ~'Ts101'(X0) | ~'root$uocc'(sK103(X0),sK107) | ~'occurrence$uof'(sK103(X0),tptp3) | ~'occurrence$uof'(sK105(X0),tptp1), inference(resolution, [status(thm)], [d1,c85])).
% 31.87/4.65 cnf(d3, plain, ~'occurrence$uof'(X0,X1) | atomic(X1) | 'root$uocc'(sK99(X1,X0),X0) | ~'occurrence$uof'(X0,X2) | ~root(sK99(X1,X0),X2), inference(resolution, [status(thm)], [c61,c19])).
% 31.87/4.65 cnf(d4, plain, 'root$uocc'(sK99(X0,X1),X1) | ~'occurrence$uof'(X1,X0) | ~'occurrence$uof'(X1,X0) | atomic(X0) | ~'occurrence$uof'(X1,X0) | atomic(X0), inference(resolution, [status(thm)], [d3,c60])).
% 31.87/4.65 cnf(d5, plain, X0 = X1 | ~'root$uocc'(X1,sK107) | ~'root$uocc'(X0,sK107), inference(resolution, [status(thm)], [c2,c83])).
% 31.87/4.65 cnf(d6, plain, ~'Ts101'(sK107) | sK103(sK107) = X0 | ~'root$uocc'(X0,sK107), inference(resolution, [status(thm)], [c65,d5])).
% 31.87/4.65 cnf(d7, plain, 'Ts101'(sK107), inference(resolution, [status(thm)], [c63,c83])).
% 31.87/4.65 cnf(d8, plain, sK103(sK107) = X0 | ~'root$uocc'(X0,sK107), inference(resolution, [status(thm)], [d7,d6])).
% 31.87/4.65 cnf(d9, plain, ~'occurrence$uof'(sK107,X0) | atomic(X0) | sK103(sK107) = sK99(X0,sK107), inference(resolution, [status(thm)], [d4,d8])).
% 31.87/4.65 cnf(d10, plain, sK103(sK107) = sK99(tptp0,sK107) | atomic(tptp0), inference(resolution, [status(thm)], [d9,c83])).
% 31.87/4.65 cnf(d11, plain, sK103(sK107) = sK99(tptp0,sK107), inference(resolution, [status(thm)], [c72,d10])).
% 31.87/4.65 cnf(d12, plain, 'root$uocc'(sK103(sK107),sK107) | ~'occurrence$uof'(sK107,tptp0) | atomic(tptp0), inference(superposition, [status(thm)], [d11,d4])).
% 31.87/4.65 cnf(d13, plain, 'root$uocc'(sK103(sK107),sK107) | atomic(tptp0), inference(resolution, [status(thm)], [c83,d12])).
% 31.87/4.65 cnf(d14, plain, 'root$uocc'(sK103(sK107),sK107), inference(resolution, [status(thm)], [c72,d13])).
% 31.87/4.65 cnf(d15, plain, ~'Ts101'(X0) | ~'root$uocc'(sK103(X0),sK107) | ~'occurrence$uof'(sK105(X0),tptp2) | ~'occurrence$uof'(sK103(X0),tptp3), inference(resolution, [status(thm)], [d1,c84])).
% 31.87/4.65 cnf(d16, plain, ~'root$uocc'(sK103(X0),sK107) | ~'occurrence$uof'(sK103(X0),tptp3) | ~'Ts101'(X0) | 'occurrence$uof'(sK105(X0),tptp1) | ~'Ts101'(X0), inference(resolution, [status(thm)], [d15,c68])).
% 31.87/4.65 cnf(d17, plain, ~'root$uocc'(sK103(X0),sK107) | 'occurrence$uof'(sK105(X0),tptp1) | ~'Ts101'(X0) | ~'Ts101'(X0), inference(resolution, [status(thm)], [d16,c64])).
% 31.87/4.65 cnf(d18, plain, 'occurrence$uof'(sK105(sK107),tptp1) | ~'Ts101'(sK107), inference(resolution, [status(thm)], [d17,d14])).
% 31.87/4.65 cnf(d19, plain, 'occurrence$uof'(sK105(sK107),tptp1), inference(resolution, [status(thm)], [d7,d18])).
% 31.87/4.65 cnf(d20, plain, ~'root$uocc'(sK103(sK107),sK107) | ~'occurrence$uof'(sK103(sK107),tptp3) | ~'Ts101'(sK107), inference(resolution, [status(thm)], [d19,d2])).
% 31.87/4.65 cnf(d21, plain, ~'root$uocc'(sK103(sK107),sK107) | ~'occurrence$uof'(sK103(sK107),tptp3), inference(resolution, [status(thm)], [d7,d20])).
% 31.87/4.65 cnf(d22, plain, tptp0 = X0 | ~'occurrence$uof'(sK107,X0), inference(resolution, [status(thm)], [c43,c83])).
% 31.87/4.65 cnf(d23, plain, tptp0 = sK35(X0,sK107) | ~'root$uocc'(X0,sK107), inference(resolution, [status(thm)], [d22,c16])).
% 31.87/4.65 cnf(d24, plain, ~'Ts101'(sK107) | tptp0 = sK35(sK103(sK107),sK107), inference(resolution, [status(thm)], [c65,d23])).
% 31.87/4.65 cnf(d25, plain, tptp0 = sK35(sK103(sK107),sK107), inference(resolution, [status(thm)], [d7,d24])).
% 31.87/4.65 cnf(d26, plain, root(sK103(sK107),tptp0) | ~'root$uocc'(sK103(sK107),sK107), inference(superposition, [status(thm)], [d25,c18])).
% 31.87/4.65 cnf(d27, plain, root(sK103(sK107),tptp0) | ~'Ts101'(sK107), inference(resolution, [status(thm)], [d26,c65])).
% 31.87/4.65 cnf(d28, plain, root(sK103(sK107),tptp0), inference(resolution, [status(thm)], [d7,d27])).
% 31.87/4.65 cnf(d29, plain, 'activity$uoccurrence'(X0) | ~atocc(X0,X1), inference(resolution, [status(thm)], [c59,c33])).
% 31.87/4.65 cnf(d30, plain, ~root(X0,X1) | 'activity$uoccurrence'(X0), inference(resolution, [status(thm)], [c56,d29])).
% 31.87/4.65 cnf(d31, plain, 'activity$uoccurrence'(sK103(sK107)), inference(resolution, [status(thm)], [d30,d28])).
% 31.87/4.65 cnf(d32, plain, sK59(X0) = X1 | ~'occurrence$uof'(X0,X1) | ~'activity$uoccurrence'(X0), inference(resolution, [status(thm)], [c43,c38])).
% 31.87/4.65 cnf(d33, plain, sK59(sK103(X0)) = tptp3 | ~'activity$uoccurrence'(sK103(X0)) | ~'Ts101'(X0), inference(resolution, [status(thm)], [d32,c64])).
% 31.87/4.65 cnf(d34, plain, sK59(sK103(sK107)) = tptp3 | ~'Ts101'(sK107), inference(resolution, [status(thm)], [d33,d31])).
% 31.87/4.65 cnf(d35, plain, sK59(sK103(sK107)) = tptp3, inference(resolution, [status(thm)], [d7,d34])).
% 31.87/4.65 cnf(d36, plain, 'occurrence$uof'(sK103(sK107),tptp3) | ~'activity$uoccurrence'(sK103(sK107)), inference(superposition, [status(thm)], [d35,c38])).
% 31.87/4.65 cnf(d37, plain, 'occurrence$uof'(sK103(sK107),tptp3), inference(resolution, [status(thm)], [d31,d36])).
% 31.87/4.65 cnf(d38, plain, ~'root$uocc'(sK103(sK107),sK107), inference(resolution, [status(thm)], [d37,d21])).
% 31.87/4.65 cnf(d39, plain, $false, inference(resolution, [status(thm)], [d14,d38])).
% 31.87/4.65 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------