%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN686-1 : TPTP v9.3.1. Released v2.5.0.
% 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 09:29:21 AM UTC 2026
% Result : Unsatisfiable 20.73s 3.08s
% Output : CNFRefutation 20.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of clauses : 64 ( 29 unt; 0 nHn; 54 RR)
% Number of literals : 128 ( 0 equ; 70 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_1,negated_conjecture,
p11(X0,X0) ).
cnf(p8_3,negated_conjecture,
p8(X0,X0) ).
cnf(p4_5,negated_conjecture,
p4(X0,X0) ).
cnf(p3_6,negated_conjecture,
p3(X0,X0) ).
cnf(p2_12,negated_conjecture,
p2(X0,X0) ).
cnf(p3_17,negated_conjecture,
p3(c36,f7(c33,c34)) ).
cnf(p3_18,negated_conjecture,
p3(c42,f7(c33,c34)) ).
cnf(p4_19,negated_conjecture,
p4(f5(c32,c36),c37) ).
cnf(p4_20,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35) ).
cnf(p30_21,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41) ).
cnf(not_p30_22,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41) ).
cnf(p8_25,negated_conjecture,
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ) ).
cnf(p4_27,negated_conjecture,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ) ).
cnf(p3_28,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p30_39,negated_conjecture,
( ~ p30(X3,X2)
| ~ p9(X3,X0)
| ~ p4(X2,X1)
| p30(X0,X1) ) ).
cnf(p9_41,negated_conjecture,
( ~ p8(X0,X2)
| ~ p4(X1,X3)
| p9(f10(X0,X1),f10(X2,X3)) ) ).
cnf(p4_50,negated_conjecture,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ) ).
cnf(p8_51,negated_conjecture,
( ~ p3(X1,X3)
| ~ p11(X0,X2)
| p8(f12(X0,X1),f12(X2,X3)) ) ).
cnf(c0,plain,
p11(X0,X0),
inference(clausification,[status(esa)],[p11_1]) ).
cnf(c2,plain,
p8(X0,X0),
inference(clausification,[status(esa)],[p8_3]) ).
cnf(c4,plain,
p4(X0,X0),
inference(clausification,[status(esa)],[p4_5]) ).
cnf(c5,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_6]) ).
cnf(c11,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_12]) ).
cnf(c16,plain,
p3(c36,f7(c33,c34)),
inference(clausification,[status(esa)],[p3_17]) ).
cnf(c17,plain,
p3(c42,f7(c33,c34)),
inference(clausification,[status(esa)],[p3_18]) ).
cnf(c18,plain,
p4(f5(c32,c36),c37),
inference(clausification,[status(esa)],[p4_19]) ).
cnf(c19,plain,
p4(f5(c32,f7(c33,c34)),c35),
inference(clausification,[status(esa)],[p4_20]) ).
cnf(c20,plain,
p30(f10(f12(c39,c36),c37),c41),
inference(clausification,[status(esa)],[p30_21]) ).
cnf(c21,plain,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
inference(clausification,[status(esa)],[not_p30_22]) ).
cnf(c24,plain,
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ),
inference(clausification,[status(esa)],[p8_25]) ).
cnf(c26,plain,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(clausification,[status(esa)],[p4_27]) ).
cnf(c27,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_28]) ).
cnf(c38,plain,
( ~ p30(X3,X2)
| ~ p9(X3,X0)
| ~ p4(X2,X1)
| p30(X0,X1) ),
inference(clausification,[status(esa)],[p30_39]) ).
cnf(c40,plain,
( ~ p8(X0,X2)
| ~ p4(X1,X3)
| p9(f10(X0,X1),f10(X2,X3)) ),
inference(clausification,[status(esa)],[p9_41]) ).
cnf(c49,plain,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(clausification,[status(esa)],[p4_50]) ).
cnf(c50,plain,
( ~ p3(X1,X3)
| ~ p11(X0,X2)
| p8(f12(X0,X1),f12(X2,X3)) ),
inference(clausification,[status(esa)],[p8_51]) ).
cnf(d0,plain,
( ~ p8(X1,X0)
| p8(X0,X1) ),
inference(resolution,[status(thm)],[c24,c2]) ).
cnf(d1,plain,
( p8(f12(X1,X3),f12(X0,X2))
| ~ p3(X2,X3)
| ~ p11(X0,X1) ),
inference(resolution,[status(thm)],[c50,d0]) ).
cnf(d2,plain,
( p30(X0,X1)
| ~ p4(c41,X1)
| ~ p9(f10(f12(c39,c36),c37),X0) ),
inference(resolution,[status(thm)],[c38,c20]) ).
cnf(d3,plain,
( ~ p4(c37,X2)
| ~ p8(f12(c39,c36),X1)
| p30(f10(X1,X2),X0)
| ~ p4(c41,X0) ),
inference(resolution,[status(thm)],[d2,c40]) ).
cnf(d4,plain,
( ~ p3(X3,c36)
| ~ p11(X2,c39)
| p30(f10(f12(X2,X3),X0),X1)
| ~ p4(c41,X1)
| ~ p4(c37,X0) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ p3(f7(c33,c34),c36)
| ~ p4(c41,c41)
| ~ p4(c37,c35)
| ~ p11(c39,c39) ),
inference(resolution,[status(thm)],[d4,c21]) ).
cnf(d6,plain,
( ~ p3(f7(c33,c34),c36)
| ~ p4(c41,c41)
| ~ p4(c37,c35) ),
inference(resolution,[status(thm)],[c0,d5]) ).
cnf(d7,plain,
( ~ p3(f7(c33,c34),c36)
| ~ p4(c37,c35) ),
inference(resolution,[status(thm)],[c4,d6]) ).
cnf(d8,plain,
( ~ p3(c42,X0)
| p3(f7(c33,c34),X0) ),
inference(resolution,[status(thm)],[c27,c17]) ).
cnf(d9,plain,
( ~ p3(c36,X0)
| p3(f7(c33,c34),X0) ),
inference(resolution,[status(thm)],[c27,c16]) ).
cnf(d10,plain,
( ~ p3(f7(c33,c34),X1)
| p3(X0,X1)
| ~ p3(c36,X0) ),
inference(resolution,[status(thm)],[d9,c27]) ).
cnf(d11,plain,
( ~ p3(c42,X1)
| ~ p3(c36,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( ~ p3(c36,X0)
| p3(X0,c42) ),
inference(resolution,[status(thm)],[d11,c5]) ).
cnf(d13,plain,
p3(c36,c42),
inference(resolution,[status(thm)],[d12,c5]) ).
cnf(d14,plain,
( ~ p3(c36,X0)
| p3(c42,X0) ),
inference(resolution,[status(thm)],[d13,c27]) ).
cnf(d15,plain,
p3(c42,c36),
inference(resolution,[status(thm)],[d14,c5]) ).
cnf(d16,plain,
( ~ p3(c36,X0)
| p3(X0,c36) ),
inference(resolution,[status(thm)],[d15,d11]) ).
cnf(d17,plain,
p3(f7(c33,c34),c36),
inference(resolution,[status(thm)],[d16,c16]) ).
cnf(d18,plain,
~ p4(c37,c35),
inference(resolution,[status(thm)],[d17,d7]) ).
cnf(d19,plain,
( ~ p4(X1,X0)
| p4(X0,X1) ),
inference(resolution,[status(thm)],[c26,c4]) ).
cnf(d20,plain,
( ~ p4(f5(c32,c36),X0)
| p4(X0,c37) ),
inference(resolution,[status(thm)],[c26,c18]) ).
cnf(d21,plain,
( ~ p4(f5(c32,f7(c33,c34)),X0)
| p4(X0,c35) ),
inference(resolution,[status(thm)],[c26,c19]) ).
cnf(d22,plain,
( ~ p2(c32,X0)
| ~ p3(f7(c33,c34),X1)
| p4(f5(X0,X1),c35) ),
inference(resolution,[status(thm)],[d21,c49]) ).
cnf(d23,plain,
( ~ p2(c32,X0)
| p4(f5(X0,c36),c35) ),
inference(resolution,[status(thm)],[d22,d17]) ).
cnf(d24,plain,
( p4(c35,c37)
| ~ p2(c32,c32) ),
inference(resolution,[status(thm)],[d23,d20]) ).
cnf(d25,plain,
p4(c35,c37),
inference(resolution,[status(thm)],[c11,d24]) ).
cnf(d26,plain,
p4(c37,c35),
inference(resolution,[status(thm)],[d25,d19]) ).
cnf(d27,plain,
$false,
inference(resolution,[status(thm)],[d26,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN686-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n006.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 : Sat Sep 26 18:20:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.73/3.08 % SZS status Unsatisfiable for theBenchmark.p
% 20.73/3.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------