%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 09:20:37 AM UTC 2026
% Result : Unsatisfiable 10.49s 1.99s
% Output : CNFRefutation 10.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 32
% Syntax : Number of clauses : 144 ( 3 unt; 117 nHn; 144 RR)
% Number of literals : 641 ( 0 equ; 240 neg)
% Maximal clause size : 8 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ppppp,negated_conjecture,
( 'p$u5'
| 'p$u4'
| 'p$u3'
| 'p$u2'
| 'p$u1' ) ).
cnf(ppppn,negated_conjecture,
( ~ 'p$u5'
| 'p$u4'
| 'p$u3'
| 'p$u2'
| 'p$u1' ) ).
cnf(pppnp,negated_conjecture,
( 'p$u5'
| ~ 'p$u4'
| 'p$u3'
| 'p$u2'
| 'p$u1' ) ).
cnf(pppnn,negated_conjecture,
( ~ 'p$u5'
| ~ 'p$u4'
| 'p$u3'
| 'p$u2'
| 'p$u1' ) ).
cnf(ppnpp,negated_conjecture,
( 'p$u5'
| 'p$u4'
| ~ 'p$u3'
| 'p$u2'
| 'p$u1' ) ).
cnf(ppnpn,negated_conjecture,
( ~ 'p$u5'
| 'p$u4'
| ~ 'p$u3'
| 'p$u2'
| 'p$u1' ) ).
cnf(ppnnp,negated_conjecture,
( 'p$u5'
| ~ 'p$u4'
| ~ 'p$u3'
| 'p$u2'
| 'p$u1' ) ).
cnf(ppnnn,negated_conjecture,
( ~ 'p$u5'
| ~ 'p$u4'
| ~ 'p$u3'
| 'p$u2'
| 'p$u1' ) ).
cnf(pnppp,negated_conjecture,
( 'p$u5'
| 'p$u4'
| 'p$u3'
| ~ 'p$u2'
| 'p$u1' ) ).
cnf(pnppn,negated_conjecture,
( ~ 'p$u5'
| 'p$u4'
| 'p$u3'
| ~ 'p$u2'
| 'p$u1' ) ).
cnf(pnpnp,negated_conjecture,
( 'p$u5'
| ~ 'p$u4'
| 'p$u3'
| ~ 'p$u2'
| 'p$u1' ) ).
cnf(pnpnn,negated_conjecture,
( ~ 'p$u5'
| ~ 'p$u4'
| 'p$u3'
| ~ 'p$u2'
| 'p$u1' ) ).
cnf(pnnpp,negated_conjecture,
( 'p$u5'
| 'p$u4'
| ~ 'p$u3'
| ~ 'p$u2'
| 'p$u1' ) ).
cnf(pnnpn,negated_conjecture,
( ~ 'p$u5'
| 'p$u4'
| ~ 'p$u3'
| ~ 'p$u2'
| 'p$u1' ) ).
cnf(pnnnp,negated_conjecture,
( 'p$u5'
| ~ 'p$u4'
| ~ 'p$u3'
| ~ 'p$u2'
| 'p$u1' ) ).
cnf(pnnnn,negated_conjecture,
( ~ 'p$u5'
| ~ 'p$u4'
| ~ 'p$u3'
| ~ 'p$u2'
| 'p$u1' ) ).
cnf(npppp,negated_conjecture,
( 'p$u5'
| 'p$u4'
| 'p$u3'
| 'p$u2'
| ~ 'p$u1' ) ).
cnf(npppn,negated_conjecture,
( ~ 'p$u5'
| 'p$u4'
| 'p$u3'
| 'p$u2'
| ~ 'p$u1' ) ).
cnf(nppnp,negated_conjecture,
( 'p$u5'
| ~ 'p$u4'
| 'p$u3'
| 'p$u2'
| ~ 'p$u1' ) ).
cnf(nppnn,negated_conjecture,
( ~ 'p$u5'
| ~ 'p$u4'
| 'p$u3'
| 'p$u2'
| ~ 'p$u1' ) ).
cnf(npnpp,negated_conjecture,
( 'p$u5'
| 'p$u4'
| ~ 'p$u3'
| 'p$u2'
| ~ 'p$u1' ) ).
cnf(npnpn,negated_conjecture,
( ~ 'p$u5'
| 'p$u4'
| ~ 'p$u3'
| 'p$u2'
| ~ 'p$u1' ) ).
cnf(npnnp,negated_conjecture,
( 'p$u5'
| ~ 'p$u4'
| ~ 'p$u3'
| 'p$u2'
| ~ 'p$u1' ) ).
cnf(npnnn,negated_conjecture,
( ~ 'p$u5'
| ~ 'p$u4'
| ~ 'p$u3'
| 'p$u2'
| ~ 'p$u1' ) ).
cnf(nnppp,negated_conjecture,
( 'p$u5'
| 'p$u4'
| 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ) ).
cnf(nnppn,negated_conjecture,
( ~ 'p$u5'
| 'p$u4'
| 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ) ).
cnf(nnpnp,negated_conjecture,
( 'p$u5'
| ~ 'p$u4'
| 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ) ).
cnf(nnpnn,negated_conjecture,
( ~ 'p$u5'
| ~ 'p$u4'
| 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ) ).
cnf(nnnpp,negated_conjecture,
( 'p$u5'
| 'p$u4'
| ~ 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ) ).
cnf(nnnpn,negated_conjecture,
( ~ 'p$u5'
| 'p$u4'
| ~ 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ) ).
cnf(nnnnp,negated_conjecture,
( 'p$u5'
| ~ 'p$u4'
| ~ 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ) ).
cnf(nnnnn,negated_conjecture,
( ~ 'p$u5'
| ~ 'p$u4'
| ~ 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ) ).
cnf(c0,plain,
( 'p$u4'
| 'p$u5'
| 'p$u3'
| 'p$u1'
| 'p$u2' ),
inference(clausification,[status(esa)],[ppppp]) ).
cnf(c1,plain,
( 'p$u4'
| ~ 'p$u5'
| 'p$u3'
| 'p$u1'
| 'p$u2' ),
inference(clausification,[status(esa)],[ppppn]) ).
cnf(c2,plain,
( 'p$u5'
| 'p$u3'
| 'p$u1'
| ~ 'p$u4'
| 'p$u2' ),
inference(clausification,[status(esa)],[pppnp]) ).
cnf(c3,plain,
( ~ 'p$u5'
| 'p$u3'
| 'p$u1'
| ~ 'p$u4'
| 'p$u2' ),
inference(clausification,[status(esa)],[pppnn]) ).
cnf(c4,plain,
( 'p$u4'
| 'p$u5'
| ~ 'p$u3'
| 'p$u1'
| 'p$u2' ),
inference(clausification,[status(esa)],[ppnpp]) ).
cnf(c5,plain,
( 'p$u4'
| ~ 'p$u5'
| ~ 'p$u3'
| 'p$u1'
| 'p$u2' ),
inference(clausification,[status(esa)],[ppnpn]) ).
cnf(c6,plain,
( 'p$u5'
| ~ 'p$u3'
| 'p$u1'
| ~ 'p$u4'
| 'p$u2' ),
inference(clausification,[status(esa)],[ppnnp]) ).
cnf(c7,plain,
( ~ 'p$u5'
| ~ 'p$u3'
| 'p$u1'
| ~ 'p$u4'
| 'p$u2' ),
inference(clausification,[status(esa)],[ppnnn]) ).
cnf(c8,plain,
( 'p$u1'
| ~ 'p$u2'
| 'p$u4'
| 'p$u5'
| 'p$u3' ),
inference(clausification,[status(esa)],[pnppp]) ).
cnf(c9,plain,
( 'p$u1'
| ~ 'p$u2'
| 'p$u4'
| ~ 'p$u5'
| 'p$u3' ),
inference(clausification,[status(esa)],[pnppn]) ).
cnf(c10,plain,
( 'p$u1'
| ~ 'p$u2'
| 'p$u5'
| 'p$u3'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[pnpnp]) ).
cnf(c11,plain,
( 'p$u1'
| ~ 'p$u2'
| ~ 'p$u5'
| 'p$u3'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[pnpnn]) ).
cnf(c12,plain,
( 'p$u1'
| ~ 'p$u2'
| 'p$u4'
| 'p$u5'
| ~ 'p$u3' ),
inference(clausification,[status(esa)],[pnnpp]) ).
cnf(c13,plain,
( 'p$u1'
| ~ 'p$u2'
| 'p$u4'
| ~ 'p$u5'
| ~ 'p$u3' ),
inference(clausification,[status(esa)],[pnnpn]) ).
cnf(c14,plain,
( 'p$u1'
| ~ 'p$u2'
| 'p$u5'
| ~ 'p$u3'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[pnnnp]) ).
cnf(c15,plain,
( 'p$u1'
| ~ 'p$u2'
| ~ 'p$u5'
| ~ 'p$u3'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[pnnnn]) ).
cnf(c16,plain,
( 'p$u4'
| 'p$u5'
| 'p$u3'
| ~ 'p$u1'
| 'p$u2' ),
inference(clausification,[status(esa)],[npppp]) ).
cnf(c17,plain,
( 'p$u4'
| ~ 'p$u5'
| 'p$u3'
| ~ 'p$u1'
| 'p$u2' ),
inference(clausification,[status(esa)],[npppn]) ).
cnf(c18,plain,
( 'p$u5'
| 'p$u3'
| ~ 'p$u1'
| ~ 'p$u4'
| 'p$u2' ),
inference(clausification,[status(esa)],[nppnp]) ).
cnf(c19,plain,
( ~ 'p$u5'
| 'p$u3'
| ~ 'p$u1'
| ~ 'p$u4'
| 'p$u2' ),
inference(clausification,[status(esa)],[nppnn]) ).
cnf(c20,plain,
( 'p$u4'
| 'p$u5'
| ~ 'p$u3'
| ~ 'p$u1'
| 'p$u2' ),
inference(clausification,[status(esa)],[npnpp]) ).
cnf(c21,plain,
( 'p$u4'
| ~ 'p$u5'
| ~ 'p$u3'
| ~ 'p$u1'
| 'p$u2' ),
inference(clausification,[status(esa)],[npnpn]) ).
cnf(c22,plain,
( 'p$u5'
| ~ 'p$u3'
| ~ 'p$u1'
| ~ 'p$u4'
| 'p$u2' ),
inference(clausification,[status(esa)],[npnnp]) ).
cnf(c23,plain,
( ~ 'p$u5'
| ~ 'p$u3'
| ~ 'p$u1'
| ~ 'p$u4'
| 'p$u2' ),
inference(clausification,[status(esa)],[npnnn]) ).
cnf(c24,plain,
( 'p$u4'
| 'p$u5'
| 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ),
inference(clausification,[status(esa)],[nnppp]) ).
cnf(c25,plain,
( 'p$u4'
| ~ 'p$u5'
| 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ),
inference(clausification,[status(esa)],[nnppn]) ).
cnf(c26,plain,
( 'p$u5'
| 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[nnpnp]) ).
cnf(c27,plain,
( ~ 'p$u5'
| 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[nnpnn]) ).
cnf(c28,plain,
( 'p$u4'
| 'p$u5'
| ~ 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ),
inference(clausification,[status(esa)],[nnnpp]) ).
cnf(c29,plain,
( 'p$u4'
| ~ 'p$u5'
| ~ 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1' ),
inference(clausification,[status(esa)],[nnnpn]) ).
cnf(c30,plain,
( 'p$u5'
| ~ 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[nnnnp]) ).
cnf(c31,plain,
( ~ 'p$u5'
| ~ 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[nnnnn]) ).
cnf(d0,plain,
( 'p$u5'
| 'p$u3'
| 'p$u1'
| 'p$u2'
| 'p$u5'
| 'p$u3'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( 'p$u4'
| 'p$u3'
| 'p$u1'
| 'p$u2'
| 'p$u3'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( ~ 'p$u5'
| 'p$u3'
| 'p$u1'
| 'p$u2'
| 'p$u3'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( 'p$u3'
| 'p$u1'
| 'p$u2'
| 'p$u3'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( 'p$u4'
| 'p$u5'
| 'p$u1'
| 'p$u2'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( 'p$u5'
| ~ 'p$u3'
| 'p$u1'
| 'p$u2'
| 'p$u5'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
( 'p$u1'
| 'p$u2'
| 'p$u5'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( 'p$u4'
| ~ 'p$u3'
| 'p$u1'
| 'p$u2'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d6,c5]) ).
cnf(d8,plain,
( 'p$u1'
| 'p$u2'
| 'p$u4'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
( ~ 'p$u5'
| ~ 'p$u3'
| 'p$u1'
| 'p$u2'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d8,c7]) ).
cnf(d10,plain,
( 'p$u1'
| 'p$u2'
| ~ 'p$u3'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( 'p$u1'
| 'p$u2'
| 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d10,d3]) ).
cnf(d12,plain,
( 'p$u2'
| 'p$u4'
| 'p$u5'
| 'p$u3'
| 'p$u2' ),
inference(resolution,[status(thm)],[c16,d11]) ).
cnf(d13,plain,
( 'p$u5'
| 'p$u3'
| 'p$u2'
| 'p$u5'
| 'p$u3'
| ~ 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[c18,d12]) ).
cnf(d14,plain,
( 'p$u2'
| 'p$u5'
| 'p$u3'
| 'p$u2' ),
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
( 'p$u4'
| 'p$u3'
| ~ 'p$u1'
| 'p$u2'
| 'p$u3'
| 'p$u2' ),
inference(resolution,[status(thm)],[d14,c17]) ).
cnf(d16,plain,
( 'p$u2'
| 'p$u4'
| 'p$u3'
| 'p$u2' ),
inference(resolution,[status(thm)],[d15,d11]) ).
cnf(d17,plain,
( ~ 'p$u5'
| 'p$u3'
| ~ 'p$u1'
| 'p$u2'
| 'p$u3'
| 'p$u2' ),
inference(resolution,[status(thm)],[d16,c19]) ).
cnf(d18,plain,
( 'p$u3'
| 'p$u2'
| 'p$u3'
| ~ 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d17,d14]) ).
cnf(d19,plain,
( 'p$u2'
| 'p$u3'
| 'p$u2' ),
inference(resolution,[status(thm)],[d18,d11]) ).
cnf(d20,plain,
( 'p$u4'
| 'p$u5'
| ~ 'p$u1'
| 'p$u2'
| 'p$u2' ),
inference(resolution,[status(thm)],[d19,c20]) ).
cnf(d21,plain,
( 'p$u2'
| 'p$u4'
| 'p$u5'
| 'p$u2' ),
inference(resolution,[status(thm)],[d20,d11]) ).
cnf(d22,plain,
( 'p$u5'
| ~ 'p$u3'
| ~ 'p$u1'
| 'p$u2'
| 'p$u5'
| 'p$u2' ),
inference(resolution,[status(thm)],[d21,c22]) ).
cnf(d23,plain,
( 'p$u2'
| 'p$u5'
| ~ 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d22,d19]) ).
cnf(d24,plain,
( 'p$u2'
| 'p$u5'
| 'p$u2' ),
inference(resolution,[status(thm)],[d23,d11]) ).
cnf(d25,plain,
( 'p$u4'
| ~ 'p$u3'
| ~ 'p$u1'
| 'p$u2'
| 'p$u2' ),
inference(resolution,[status(thm)],[d24,c21]) ).
cnf(d26,plain,
( 'p$u2'
| 'p$u4'
| ~ 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d25,d19]) ).
cnf(d27,plain,
( 'p$u2'
| 'p$u4'
| 'p$u2' ),
inference(resolution,[status(thm)],[d26,d11]) ).
cnf(d28,plain,
( ~ 'p$u5'
| ~ 'p$u3'
| ~ 'p$u1'
| 'p$u2'
| 'p$u2' ),
inference(resolution,[status(thm)],[d27,c23]) ).
cnf(d29,plain,
( 'p$u2'
| ~ 'p$u3'
| ~ 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d28,d24]) ).
cnf(d30,plain,
( 'p$u2'
| ~ 'p$u1'
| 'p$u2' ),
inference(resolution,[status(thm)],[d29,d19]) ).
cnf(d31,plain,
( 'p$u2'
| 'p$u2' ),
inference(resolution,[status(thm)],[d30,d11]) ).
cnf(d32,plain,
( 'p$u4'
| ~ 'p$u5'
| ~ 'p$u3'
| ~ 'p$u1' ),
inference(resolution,[status(thm)],[d31,c29]) ).
cnf(d33,plain,
( ~ 'p$u4'
| 'p$u5'
| 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d31,c10]) ).
cnf(d34,plain,
( 'p$u4'
| 'p$u5'
| 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d31,c8]) ).
cnf(d35,plain,
( 'p$u5'
| 'p$u3'
| 'p$u1'
| 'p$u5'
| 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d34,d33]) ).
cnf(d36,plain,
( 'p$u4'
| ~ 'p$u5'
| 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d31,c9]) ).
cnf(d37,plain,
( 'p$u3'
| 'p$u1'
| 'p$u4'
| 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d36,d35]) ).
cnf(d38,plain,
( ~ 'p$u4'
| ~ 'p$u5'
| 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d31,c11]) ).
cnf(d39,plain,
( 'p$u3'
| 'p$u1'
| ~ 'p$u5'
| 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d38,d37]) ).
cnf(d40,plain,
( 'p$u3'
| 'p$u1'
| 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d39,d35]) ).
cnf(d41,plain,
( ~ 'p$u4'
| 'p$u5'
| ~ 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d31,c14]) ).
cnf(d42,plain,
( 'p$u4'
| 'p$u5'
| ~ 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d31,c12]) ).
cnf(d43,plain,
( 'p$u4'
| 'p$u5'
| 'p$u1'
| 'p$u1' ),
inference(resolution,[status(thm)],[d40,d42]) ).
cnf(d44,plain,
( 'p$u5'
| ~ 'p$u3'
| 'p$u1'
| 'p$u5'
| 'p$u1' ),
inference(resolution,[status(thm)],[d43,d41]) ).
cnf(d45,plain,
( 'p$u1'
| 'p$u5'
| 'p$u1' ),
inference(resolution,[status(thm)],[d44,d40]) ).
cnf(d46,plain,
( ~ 'p$u4'
| ~ 'p$u5'
| ~ 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d31,c15]) ).
cnf(d47,plain,
( 'p$u4'
| ~ 'p$u5'
| ~ 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d31,c13]) ).
cnf(d48,plain,
( 'p$u4'
| ~ 'p$u3'
| 'p$u1'
| 'p$u1' ),
inference(resolution,[status(thm)],[d45,d47]) ).
cnf(d49,plain,
( 'p$u1'
| 'p$u4'
| 'p$u1' ),
inference(resolution,[status(thm)],[d48,d40]) ).
cnf(d50,plain,
( ~ 'p$u5'
| ~ 'p$u3'
| 'p$u1'
| 'p$u1' ),
inference(resolution,[status(thm)],[d49,d46]) ).
cnf(d51,plain,
( 'p$u1'
| ~ 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d50,d45]) ).
cnf(d52,plain,
( 'p$u1'
| 'p$u1' ),
inference(resolution,[status(thm)],[d51,d40]) ).
cnf(d53,plain,
( 'p$u4'
| ~ 'p$u5'
| ~ 'p$u3' ),
inference(resolution,[status(thm)],[d52,d32]) ).
cnf(d54,plain,
( ~ 'p$u4'
| 'p$u5'
| 'p$u3'
| ~ 'p$u1' ),
inference(resolution,[status(thm)],[d31,c26]) ).
cnf(d55,plain,
( ~ 'p$u4'
| 'p$u5'
| 'p$u3' ),
inference(resolution,[status(thm)],[d52,d54]) ).
cnf(d56,plain,
( 'p$u4'
| 'p$u5'
| 'p$u3'
| ~ 'p$u1' ),
inference(resolution,[status(thm)],[d31,c24]) ).
cnf(d57,plain,
( 'p$u4'
| 'p$u5'
| 'p$u3' ),
inference(resolution,[status(thm)],[d52,d56]) ).
cnf(d58,plain,
( 'p$u5'
| 'p$u3'
| 'p$u5'
| 'p$u3' ),
inference(resolution,[status(thm)],[d57,d55]) ).
cnf(d59,plain,
( ~ 'p$u4'
| ~ 'p$u5'
| 'p$u3'
| ~ 'p$u1' ),
inference(resolution,[status(thm)],[d31,c27]) ).
cnf(d60,plain,
( ~ 'p$u4'
| ~ 'p$u5'
| 'p$u3' ),
inference(resolution,[status(thm)],[d52,d59]) ).
cnf(d61,plain,
( 'p$u4'
| ~ 'p$u5'
| 'p$u3'
| ~ 'p$u1' ),
inference(resolution,[status(thm)],[d31,c25]) ).
cnf(d62,plain,
( 'p$u4'
| ~ 'p$u5'
| 'p$u3' ),
inference(resolution,[status(thm)],[d52,d61]) ).
cnf(d63,plain,
( 'p$u3'
| 'p$u4'
| 'p$u3' ),
inference(resolution,[status(thm)],[d62,d58]) ).
cnf(d64,plain,
( ~ 'p$u5'
| 'p$u3'
| 'p$u3' ),
inference(resolution,[status(thm)],[d63,d60]) ).
cnf(d65,plain,
( 'p$u3'
| 'p$u3' ),
inference(resolution,[status(thm)],[d64,d58]) ).
cnf(d66,plain,
( 'p$u4'
| ~ 'p$u5' ),
inference(resolution,[status(thm)],[d65,d53]) ).
cnf(d67,plain,
( ~ 'p$u4'
| 'p$u5'
| ~ 'p$u3'
| ~ 'p$u1' ),
inference(resolution,[status(thm)],[d31,c30]) ).
cnf(d68,plain,
( ~ 'p$u4'
| 'p$u5'
| ~ 'p$u3' ),
inference(resolution,[status(thm)],[d52,d67]) ).
cnf(d69,plain,
( ~ 'p$u4'
| 'p$u5' ),
inference(resolution,[status(thm)],[d65,d68]) ).
cnf(d70,plain,
( 'p$u4'
| 'p$u5'
| ~ 'p$u3'
| ~ 'p$u1' ),
inference(resolution,[status(thm)],[d31,c28]) ).
cnf(d71,plain,
( 'p$u4'
| 'p$u5'
| ~ 'p$u3' ),
inference(resolution,[status(thm)],[d52,d70]) ).
cnf(d72,plain,
( 'p$u4'
| 'p$u5' ),
inference(resolution,[status(thm)],[d65,d71]) ).
cnf(d73,plain,
( 'p$u5'
| 'p$u5' ),
inference(resolution,[status(thm)],[d72,d69]) ).
cnf(d74,plain,
'p$u4',
inference(resolution,[status(thm)],[d73,d66]) ).
cnf(d75,plain,
( ~ 'p$u4'
| ~ 'p$u5'
| ~ 'p$u3'
| ~ 'p$u1' ),
inference(resolution,[status(thm)],[d31,c31]) ).
cnf(d76,plain,
( ~ 'p$u4'
| ~ 'p$u5'
| ~ 'p$u3' ),
inference(resolution,[status(thm)],[d52,d75]) ).
cnf(d77,plain,
( ~ 'p$u4'
| ~ 'p$u5' ),
inference(resolution,[status(thm)],[d65,d76]) ).
cnf(d78,plain,
~ 'p$u4',
inference(resolution,[status(thm)],[d73,d77]) ).
cnf(d79,plain,
$false,
inference(resolution,[status(thm)],[d78,d74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.56 % Computer : n006.cluster.edu
% 0.07/0.56 % Model : x86_64 x86_64
% 0.07/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.56 % Memory : 8046.5625MB
% 0.07/0.56 % OS : Linux 6.8.0-71-generic
% 0.07/0.56 % CPULimit : 300
% 0.07/0.56 % WCLimit : 300
% 0.07/0.56 % DateTime : Sat Sep 26 17:02:58 UTC 2026
% 0.07/0.56 % CPUTime :
% 0.07/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.49/1.99 % SZS status Unsatisfiable for theBenchmark.p
% 10.49/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------