%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO004+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 08:20:40 AM UTC 2026
% Result : Theorem 82.35s 15.24s
% Output : CNFRefutation 82.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO004+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 04:56:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 82.35/15.24 % SZS status Theorem for theBenchmark.p
% 82.35/15.24 % SZS output start CNFRefutation for theBenchmark.p
% 82.35/15.24 fof(sos_03, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X2,X3) & (~atomic(X3) & ('leaf$uocc'(X0,X2) & 'leaf$uocc'(X1,X2)))) => X0 = X1))).
% 82.35/15.24 fof(sos_04, axiom, ! [X0] : ! [X1] : ! [X2] : (('next$usubocc'(X0,X1,X2) <=> ('min$uprecedes'(X0,X1,X2) & ~? [X3] : (('min$uprecedes'(X0,X3,X2) & 'min$uprecedes'(X3,X1,X2))))))).
% 82.35/15.24 fof(sos_10, axiom, ! [X0] : ! [X1] : (('root$uocc'(X0,X1) <=> ? [X2] : (('occurrence$uof'(X1,X2) & ('subactivity$uoccurrence'(X0,X1) & root(X0,X2))))))).
% 82.35/15.24 fof(sos_13, axiom, ! [X0] : ! [X1] : (('occurrence$uof'(X0,X1) => (arboreal(X0) <=> atomic(X1))))).
% 82.35/15.24 fof(sos_20, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X2) & 'root$uocc'(X1,X0)) => ~? [X3] : 'min$uprecedes'(X3,X1,X2)))).
% 82.35/15.24 fof(sos_21, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X2) & 'leaf$uocc'(X1,X0)) => ~? [X3] : 'min$uprecedes'(X1,X3,X2)))).
% 82.35/15.24 fof(sos_22, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X1) & 'occurrence$uof'(X0,X2)) => X1 = X2))).
% 82.35/15.24 fof(sos_24, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X1,X2,X0) => ? [X3] : (('occurrence$uof'(X3,X0) & ('subactivity$uoccurrence'(X1,X3) & 'subactivity$uoccurrence'(X2,X3))))))).
% 82.35/15.24 fof(sos_32, axiom, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('occurrence$uof'(X1,tptp4) & ('root$uocc'(X1,X0) & ('occurrence$uof'(X2,tptp3) & ('leaf$uocc'(X2,X0) & 'next$usubocc'(X1,X2,tptp0))))))))).
% 82.35/15.24 fof(sos_34, axiom, ~atomic(tptp0)).
% 82.35/15.24 fof(sos_35, axiom, atomic(tptp4)).
% 82.35/15.24 fof(sos_38, axiom, atomic(tptp1)).
% 82.35/15.24 fof(sos_42, axiom, tptp1 != tptp3).
% 82.35/15.24 fof(sos_45, axiom, ! [X0] : ! [X1] : ((('occurrence$uof'(X1,tptp0) & ('subactivity$uoccurrence'(X0,X1) & (arboreal(X0) & ~'leaf$uocc'(X0,X1)))) => 'root$uocc'(X0,X1)))).
% 82.35/15.24 fof(sos_47, axiom, ! [X0] : ! [X1] : ((('occurrence$uof'(X1,tptp0) & ('subactivity$uoccurrence'(X0,X1) & (arboreal(X0) & ~'leaf$uocc'(X0,X1)))) => ? [X2] : (('occurrence$uof'(X2,tptp1) & 'next$usubocc'(X0,X2,tptp0)))))).
% 82.35/15.24 fof(goals, conjecture, ~? [X0] : 'occurrence$uof'(X0,tptp0)).
% 82.35/15.24 fof(negated_conjecture, negated_conjecture, ~~? [X0] : 'occurrence$uof'(X0,tptp0), inference(negate_conjecture, [status(cth)], [goals])).
% 82.35/15.24 cnf(c3, plain, atomic(X0) | ~'occurrence$uof'(X1,X0) | ~'leaf$uocc'(X2,X1) | ~'leaf$uocc'(X3,X1) | X3 = X2, inference(clausification, [status(esa)], [sos_03])).
% 82.35/15.24 cnf(c4, plain, ~'next$usubocc'(X0,X1,X2) | 'min$uprecedes'(X0,X1,X2), inference(clausification, [status(esa)], [sos_04])).
% 82.35/15.24 cnf(c18, plain, ~'root$uocc'(X0,X1) | 'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_10])).
% 82.35/15.24 cnf(c26, plain, ~'occurrence$uof'(X0,X1) | arboreal(X0) | ~atomic(X1), inference(clausification, [status(esa)], [sos_13])).
% 82.35/15.24 cnf(c41, plain, ~'root$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~'min$uprecedes'(X3,X0,X2), inference(clausification, [status(esa)], [sos_20])).
% 82.35/15.24 cnf(c42, plain, ~'leaf$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~'min$uprecedes'(X0,X3,X2), inference(clausification, [status(esa)], [sos_21])).
% 82.35/15.24 cnf(c43, plain, ~'occurrence$uof'(X0,X1) | ~'occurrence$uof'(X0,X2) | X1 = X2, inference(clausification, [status(esa)], [sos_22])).
% 82.35/15.24 cnf(c46, plain, ~'min$uprecedes'(X0,X1,X2) | 'occurrence$uof'(sK79(X2,X0,X1),X2), inference(clausification, [status(esa)], [sos_24])).
% 82.35/15.24 cnf(c47, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X1,sK79(X2,X0,X1)), inference(clausification, [status(esa)], [sos_24])).
% 82.35/15.24 cnf(c63, plain, ~'occurrence$uof'(X0,tptp0) | X1(X0), inference(clausification, [status(esa)], [sos_32])).
% 82.35/15.24 cnf(c64, plain, ~X0(X1) | 'occurrence$uof'(sK103(X1),tptp4), inference(clausification, [status(esa)], [sos_32])).
% 82.35/15.24 cnf(c65, plain, ~X0(X1) | 'occurrence$uof'(sK104(X1),tptp3), inference(clausification, [status(esa)], [sos_32])).
% 82.35/15.24 cnf(c66, plain, ~X0(X1) | 'next$usubocc'(sK103(X1),sK104(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 82.35/15.24 cnf(c67, plain, ~X0(X1) | 'leaf$uocc'(sK104(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 82.35/15.24 cnf(c68, plain, ~X0(X1) | 'root$uocc'(sK103(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 82.35/15.24 cnf(c70, plain, ~atomic(tptp0), inference(clausification, [status(esa)], [sos_34])).
% 82.35/15.24 cnf(c71, plain, atomic(tptp4), inference(clausification, [status(esa)], [sos_35])).
% 82.35/15.24 cnf(c74, plain, atomic(tptp1), inference(clausification, [status(esa)], [sos_38])).
% 82.35/15.24 cnf(c78, plain, tptp1 != tptp3, inference(clausification, [status(esa)], [sos_42])).
% 82.35/15.24 cnf(c81, plain, ~'subactivity$uoccurrence'(X0,X1) | 'root$uocc'(X0,X1) | ~'occurrence$uof'(X1,tptp0) | 'leaf$uocc'(X0,X1) | ~arboreal(X0), inference(clausification, [status(esa)], [sos_45])).
% 82.35/15.24 cnf(c83, plain, 'leaf$uocc'(X0,X1) | 'occurrence$uof'(sK111(X0),tptp1) | ~arboreal(X0) | ~'occurrence$uof'(X1,tptp0) | ~'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_47])).
% 82.35/15.24 cnf(c84, plain, 'leaf$uocc'(X0,X1) | 'next$usubocc'(X0,sK111(X0),tptp0) | ~arboreal(X0) | ~'occurrence$uof'(X1,tptp0) | ~'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_47])).
% 82.35/15.24 cnf(c85, plain, 'occurrence$uof'(sK112,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 82.35/15.24 cnf(d0, plain, 'Ts101'(sK112), inference(resolution, [status(thm)], [c63,c85])).
% 82.35/15.24 cnf(d1, plain, 'occurrence$uof'(sK103(sK112),tptp4), inference(resolution, [status(thm)], [c64,d0])).
% 82.35/15.24 cnf(d2, plain, ~atomic(tptp4) | arboreal(sK103(sK112)), inference(resolution, [status(thm)], [d1,c26])).
% 82.35/15.24 cnf(d3, plain, arboreal(sK103(sK112)), inference(resolution, [status(thm)], [c71,d2])).
% 82.35/15.24 cnf(d4, plain, 'occurrence$uof'(sK111(X0),tptp1) | 'leaf$uocc'(X0,sK112) | ~arboreal(X0) | ~'subactivity$uoccurrence'(X0,sK112), inference(resolution, [status(thm)], [c83,c85])).
% 82.35/15.24 cnf(d5, plain, 'occurrence$uof'(sK111(sK103(sK112)),tptp1) | 'leaf$uocc'(sK103(sK112),sK112) | ~'subactivity$uoccurrence'(sK103(sK112),sK112), inference(resolution, [status(thm)], [d4,d3])).
% 82.35/15.24 cnf(d6, plain, 'root$uocc'(sK103(sK112),sK112), inference(resolution, [status(thm)], [c68,d0])).
% 82.35/15.24 cnf(d7, plain, 'subactivity$uoccurrence'(sK103(sK112),sK112), inference(resolution, [status(thm)], [d6,c18])).
% 82.35/15.24 cnf(d8, plain, 'occurrence$uof'(sK111(sK103(sK112)),tptp1) | 'leaf$uocc'(sK103(sK112),sK112), inference(resolution, [status(thm)], [d7,d5])).
% 82.35/15.24 cnf(d9, plain, 'next$usubocc'(sK103(sK112),sK104(sK112),tptp0), inference(resolution, [status(thm)], [c66,d0])).
% 82.35/15.24 cnf(d10, plain, 'min$uprecedes'(sK103(sK112),sK104(sK112),tptp0), inference(resolution, [status(thm)], [d9,c4])).
% 82.35/15.24 cnf(d11, plain, ~'occurrence$uof'(X0,tptp0) | ~'leaf$uocc'(sK103(sK112),X0), inference(resolution, [status(thm)], [d10,c42])).
% 82.35/15.24 cnf(d12, plain, ~'leaf$uocc'(sK103(sK112),sK112), inference(resolution, [status(thm)], [d11,c85])).
% 82.35/15.24 cnf(d13, plain, 'occurrence$uof'(sK111(sK103(sK112)),tptp1), inference(resolution, [status(thm)], [d12,d8])).
% 82.35/15.24 cnf(d14, plain, tptp1 = X0 | ~'occurrence$uof'(sK111(sK103(sK112)),X0), inference(resolution, [status(thm)], [d13,c43])).
% 82.35/15.24 cnf(d15, plain, 'leaf$uocc'(X0,sK112) | 'next$usubocc'(X0,sK111(X0),tptp0) | ~arboreal(X0) | ~'subactivity$uoccurrence'(X0,sK112), inference(resolution, [status(thm)], [c84,c85])).
% 82.35/15.24 cnf(d16, plain, 'leaf$uocc'(sK103(sK112),sK112) | 'next$usubocc'(sK103(sK112),sK111(sK103(sK112)),tptp0) | ~'subactivity$uoccurrence'(sK103(sK112),sK112), inference(resolution, [status(thm)], [d15,d3])).
% 82.35/15.24 cnf(d17, plain, 'leaf$uocc'(sK103(sK112),sK112) | 'next$usubocc'(sK103(sK112),sK111(sK103(sK112)),tptp0), inference(resolution, [status(thm)], [d7,d16])).
% 82.35/15.24 cnf(d18, plain, 'next$usubocc'(sK103(sK112),sK111(sK103(sK112)),tptp0), inference(resolution, [status(thm)], [d12,d17])).
% 82.35/15.24 cnf(d19, plain, 'min$uprecedes'(sK103(sK112),sK111(sK103(sK112)),tptp0), inference(resolution, [status(thm)], [d18,c4])).
% 82.35/15.24 cnf(d20, plain, 'occurrence$uof'(sK79(tptp0,sK103(sK112),sK111(sK103(sK112))),tptp0), inference(resolution, [status(thm)], [d19,c46])).
% 82.35/15.24 cnf(d21, plain, X0 = X1 | ~'leaf$uocc'(X0,sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))) | ~'leaf$uocc'(X1,sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))) | atomic(tptp0), inference(resolution, [status(thm)], [d20,c3])).
% 82.35/15.24 cnf(d22, plain, X0 = X1 | ~'leaf$uocc'(X1,sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))) | ~'leaf$uocc'(X0,sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))), inference(resolution, [status(thm)], [c70,d21])).
% 82.35/15.24 cnf(d23, plain, 'Ts101'(sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))), inference(resolution, [status(thm)], [d20,c63])).
% 82.35/15.24 cnf(d24, plain, 'leaf$uocc'(sK104(sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))),sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))), inference(resolution, [status(thm)], [d23,c67])).
% 82.35/15.24 cnf(d25, plain, X0 = sK104(sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))) | ~'leaf$uocc'(X0,sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))), inference(resolution, [status(thm)], [d24,d22])).
% 82.35/15.24 cnf(d26, plain, ~'root$uocc'(sK111(sK103(sK112)),X0) | ~'occurrence$uof'(X0,tptp0), inference(resolution, [status(thm)], [d19,c41])).
% 82.35/15.24 cnf(d27, plain, ~atomic(tptp1) | arboreal(sK111(sK103(sK112))), inference(resolution, [status(thm)], [d13,c26])).
% 82.35/15.24 cnf(d28, plain, arboreal(sK111(sK103(sK112))), inference(resolution, [status(thm)], [c74,d27])).
% 82.35/15.24 cnf(d29, plain, 'root$uocc'(X0,sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))) | 'leaf$uocc'(X0,sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))) | ~arboreal(X0) | ~'subactivity$uoccurrence'(X0,sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))), inference(resolution, [status(thm)], [d20,c81])).
% 82.35/15.24 cnf(d30, plain, 'root$uocc'(sK111(sK103(sK112)),sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))) | 'leaf$uocc'(sK111(sK103(sK112)),sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))) | ~'subactivity$uoccurrence'(sK111(sK103(sK112)),sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))), inference(resolution, [status(thm)], [d29,d28])).
% 82.35/15.24 cnf(d31, plain, 'subactivity$uoccurrence'(sK111(sK103(sK112)),sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))), inference(resolution, [status(thm)], [d19,c47])).
% 82.35/15.24 cnf(d32, plain, 'root$uocc'(sK111(sK103(sK112)),sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))) | 'leaf$uocc'(sK111(sK103(sK112)),sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))), inference(resolution, [status(thm)], [d31,d30])).
% 82.35/15.24 cnf(d33, plain, 'leaf$uocc'(sK111(sK103(sK112)),sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))) | ~'occurrence$uof'(sK79(tptp0,sK103(sK112),sK111(sK103(sK112))),tptp0), inference(resolution, [status(thm)], [d32,d26])).
% 82.35/15.24 cnf(d34, plain, 'leaf$uocc'(sK111(sK103(sK112)),sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))), inference(resolution, [status(thm)], [d20,d33])).
% 82.35/15.24 cnf(d35, plain, sK111(sK103(sK112)) = sK104(sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))), inference(resolution, [status(thm)], [d34,d25])).
% 82.35/15.24 cnf(d36, plain, 'occurrence$uof'(sK104(sK79(tptp0,sK103(sK112),sK111(sK103(sK112)))),tptp3), inference(resolution, [status(thm)], [d23,c65])).
% 82.35/15.24 cnf(d37, plain, 'occurrence$uof'(sK111(sK103(sK112)),tptp3), inference(demodulation, [status(thm)], [d36,d35])).
% 82.35/15.24 cnf(d38, plain, tptp1 = tptp3, inference(resolution, [status(thm)], [d37,d14])).
% 82.35/15.24 cnf(d39, plain, $false, inference(resolution, [status(thm)], [c78,d38])).
% 82.35/15.24 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------