%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN708-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 09:29:24 AM UTC 2026
% Result : Unsatisfiable 117.61s 39.31s
% Output : CNFRefutation 117.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 34 RR)
% Number of literals : 62 ( 61 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 6 con; 0-4 aty)
% Number of variables : 56 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq2(X0,X0,X1,X2) = X1 ).
cnf(ifeq_axiom_001,axiom,
ifeq(X0,X0,X1,X2) = X1 ).
cnf(c56_is_p38_1,negated_conjecture,
p38(c56) = true ).
cnf(p10_3,negated_conjecture,
p10(X0,X0) = true ).
cnf(p37_13,negated_conjecture,
p37(f15(c56),c48) = true ).
cnf(p38_15,negated_conjecture,
ifeq2(p38(X0),true,p38(f15(X0)),true) = true ).
cnf(p38_19,negated_conjecture,
ifeq2(p10(X0,X1),true,ifeq2(p38(X0),true,p38(X1),true),true) = true ).
cnf(p16_32,negated_conjecture,
ifeq2(p10(X0,X1),true,p16(f19(X0),f19(X1)),true) = true ).
cnf(p16_36,negated_conjecture,
ifeq2(p38(X0),true,p16(f19(f15(X0)),f28(f19(X0))),true) = true ).
cnf(p10_37,negated_conjecture,
ifeq2(p10(X0,X1),true,ifeq2(p10(X0,X2),true,p10(X2,X1),true),true) = true ).
cnf(p39_52,negated_conjecture,
ifeq2(p39(X0,X1),true,ifeq2(p16(X0,X2),true,ifeq2(p16(X1,X3),true,p39(X2,X3),true),true),true) = true ).
cnf(p39_54,negated_conjecture,
ifeq2(p37(X0,X1),true,ifeq2(p38(X1),true,ifeq2(p38(X0),true,p39(f19(X0),f19(X1)),true),true),true) = true ).
cnf(f11_is_p38_64,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) = true ).
cnf(p10_66,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) = true ).
cnf(not_p39_69,negated_conjecture,
ifeq(p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true,a,b) = b ).
cnf(goal,negated_conjecture,
a != b ).
cnf(c0,plain,
ifeq2(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom]) ).
cnf(c1,plain,
ifeq(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom_001]) ).
cnf(c2,plain,
p38(c56) = true,
inference(clausification,[status(esa)],[c56_is_p38_1]) ).
cnf(c3,plain,
p10(X0,X0) = true,
inference(clausification,[status(esa)],[p10_3]) ).
cnf(c11,plain,
p37(f15(c56),c48) = true,
inference(clausification,[status(esa)],[p37_13]) ).
cnf(c12,plain,
ifeq2(p38(X0),true,p38(f15(X0)),true) = true,
inference(clausification,[status(esa)],[p38_15]) ).
cnf(c16,plain,
ifeq2(p10(X0,X1),true,ifeq2(p38(X0),true,p38(X1),true),true) = true,
inference(clausification,[status(esa)],[p38_19]) ).
cnf(c29,plain,
ifeq2(p10(X0,X1),true,p16(f19(X0),f19(X1)),true) = true,
inference(clausification,[status(esa)],[p16_32]) ).
cnf(c33,plain,
ifeq2(p38(X0),true,p16(f19(f15(X0)),f28(f19(X0))),true) = true,
inference(clausification,[status(esa)],[p16_36]) ).
cnf(c34,plain,
ifeq2(p10(X0,X1),true,ifeq2(p10(X0,X2),true,p10(X2,X1),true),true) = true,
inference(clausification,[status(esa)],[p10_37]) ).
cnf(c49,plain,
ifeq2(p39(X0,X1),true,ifeq2(p16(X0,X2),true,ifeq2(p16(X1,X3),true,p39(X2,X3),true),true),true) = true,
inference(clausification,[status(esa)],[p39_52]) ).
cnf(c51,plain,
ifeq2(p37(X0,X1),true,ifeq2(p38(X1),true,ifeq2(p38(X0),true,p39(f19(X0),f19(X1)),true),true),true) = true,
inference(clausification,[status(esa)],[p39_54]) ).
cnf(c61,plain,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) = true,
inference(clausification,[status(esa)],[f11_is_p38_64]) ).
cnf(c63,plain,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) = true,
inference(clausification,[status(esa)],[p10_66]) ).
cnf(c84,plain,
ifeq(p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true,a,b) = b,
inference(clausification,[status(esa)],[not_p39_69]) ).
cnf(c85,plain,
b != a,
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
ifeq2(p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),X0),true,ifeq2(true,true,p38(X0),true),true) = true,
inference(superposition,[status(thm)],[c61,c16]) ).
cnf(d1,plain,
ifeq2(p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),X0),true,p38(X0),true) = true,
inference(demodulation,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
ifeq2(true,true,ifeq2(p10(X0,X1),true,p10(X1,X0),true),true) = true,
inference(superposition,[status(thm)],[c3,c34]) ).
cnf(d3,plain,
ifeq2(p10(X0,X1),true,p10(X1,X0),true) = true,
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
ifeq2(true,true,p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48),true) = true,
inference(superposition,[status(thm)],[c63,d3]) ).
cnf(d5,plain,
p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48) = true,
inference(demodulation,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
ifeq2(true,true,p38(c48),true) = true,
inference(superposition,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
p38(c48) = true,
inference(demodulation,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
ifeq2(true,true,p38(f15(c56)),true) = true,
inference(superposition,[status(thm)],[c2,c12]) ).
cnf(d9,plain,
p38(f15(c56)) = true,
inference(demodulation,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
ifeq2(p37(f15(c56),X0),true,ifeq2(p38(X0),true,ifeq2(true,true,p39(f19(f15(c56)),f19(X0)),true),true),true) = true,
inference(superposition,[status(thm)],[d9,c51]) ).
cnf(d11,plain,
ifeq2(p37(f15(c56),X0),true,ifeq2(p38(X0),true,p39(f19(f15(c56)),f19(X0)),true),true) = true,
inference(demodulation,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
ifeq2(true,true,ifeq2(p38(c48),true,p39(f19(f15(c56)),f19(c48)),true),true) = true,
inference(superposition,[status(thm)],[c11,d11]) ).
cnf(d13,plain,
ifeq2(p38(c48),true,p39(f19(f15(c56)),f19(c48)),true) = true,
inference(demodulation,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
ifeq2(true,true,p39(f19(f15(c56)),f19(c48)),true) = true,
inference(demodulation,[status(thm)],[d13,d7]) ).
cnf(d15,plain,
p39(f19(f15(c56)),f19(c48)) = true,
inference(demodulation,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
ifeq2(true,true,p16(f19(f15(c56)),f28(f19(c56))),true) = true,
inference(superposition,[status(thm)],[c2,c33]) ).
cnf(d17,plain,
p16(f19(f15(c56)),f28(f19(c56))) = true,
inference(demodulation,[status(thm)],[d16,c0]) ).
cnf(d18,plain,
ifeq2(p39(f19(f15(c56)),X0),true,ifeq2(true,true,ifeq2(p16(X0,X1),true,p39(f28(f19(c56)),X1),true),true),true) = true,
inference(superposition,[status(thm)],[d17,c49]) ).
cnf(d19,plain,
ifeq2(p39(f19(f15(c56)),X0),true,ifeq2(p16(X0,X1),true,p39(f28(f19(c56)),X1),true),true) = true,
inference(demodulation,[status(thm)],[d18,c0]) ).
cnf(d20,plain,
ifeq2(true,true,p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true) = true,
inference(superposition,[status(thm)],[c63,c29]) ).
cnf(d21,plain,
p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) = true,
inference(demodulation,[status(thm)],[d20,c0]) ).
cnf(d22,plain,
ifeq2(p39(f19(f15(c56)),f19(c48)),true,ifeq2(true,true,p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true),true) = true,
inference(superposition,[status(thm)],[d21,d19]) ).
cnf(d23,plain,
ifeq2(true,true,ifeq2(true,true,p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true),true) = true,
inference(demodulation,[status(thm)],[d22,d15]) ).
cnf(d24,plain,
ifeq2(true,true,p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true) = true,
inference(demodulation,[status(thm)],[d23,c0]) ).
cnf(d25,plain,
p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) = true,
inference(demodulation,[status(thm)],[d24,c0]) ).
cnf(d26,plain,
ifeq(true,true,a,b) = b,
inference(demodulation,[status(thm)],[c84,d25]) ).
cnf(d27,plain,
a = b,
inference(demodulation,[status(thm)],[d26,c1]) ).
cnf(d28,plain,
b != b,
inference(demodulation,[status(thm)],[c85,d27]) ).
cnf(d29,plain,
$false,
inference(equality_resolution,[status(thm)],[d28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN708-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.36 % Computer : n010.cluster.edu
% 0.09/10.36 % Model : x86_64 x86_64
% 0.09/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.36 % Memory : 8046.5625MB
% 0.09/10.36 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sat Sep 26 18:21:27 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 117.61/39.31 % SZS status Unsatisfiable for theBenchmark.p
% 117.61/39.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------