%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL162-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 : Fri Sep 25 02:05:48 PM UTC 2026
% Result : Unsatisfiable 14.50s 8.39s
% Output : CNFRefutation 14.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 81 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : xor(X0,falsehood) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_2) ).
fof(f3,axiom,
! [X0] : xor(X0,X0) = falsehood,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_3) ).
fof(f4,plain,
! [X0] : falsehood = xor(X0,X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : and_star(X0,truth) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_4) ).
fof(f6,axiom,
! [X0] : and_star(X0,falsehood) = falsehood,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_5) ).
fof(f7,plain,
! [X0] : falsehood = and_star(X0,falsehood),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0] : and_star(xor(truth,X0),X0) = falsehood,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_6) ).
fof(f9,plain,
! [X0] : falsehood = and_star(xor(truth,X0),X0),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_7) ).
fof(f11,axiom,
! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_8) ).
fof(f12,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity) ).
fof(f13,axiom,
! [X2,X0,X1] : and_star(and_star(X0,X1),X2) = and_star(X0,and_star(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_associativity) ).
fof(f14,axiom,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_commutativity) ).
fof(f17,axiom,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f18,negated_conjecture,
implies(implies(x,y),implies(implies(y,z),implies(x,z))) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).
fof(f19,plain,
truth != implies(implies(x,y),implies(implies(y,z),implies(x,z))),
inference(reorient_equations,[],[f18]) ).
fof(f21,plain,
truth != xor(truth,and_star(xor(truth,and_star(x,xor(truth,y))),xor(truth,xor(truth,and_star(xor(truth,and_star(y,xor(truth,z))),xor(truth,xor(truth,and_star(x,xor(truth,z))))))))),
inference(definition_unfolding,[],[f19,f17,f17,f17,f17,f17]) ).
tcf(c_63,plain,
! [X0: $i] : xor(X0,falsehood) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i] : xor(X0,X0) = falsehood,
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
! [X0: $i] : and_star(X0,truth) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,plain,
! [X0: $i] : and_star(X0,falsehood) = falsehood,
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i] : and_star(xor(truth,X0),X0) = falsehood,
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : xor(xor(X0,truth),X1) = xor(X0,xor(truth,X1)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
inference(cnf_transformation,[],[f11]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] : xor(X0,X1) = xor(X1,X0),
inference(cnf_transformation,[],[f12]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] : and_star(and_star(X0,X1),X2) = and_star(X0,and_star(X1,X2)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : and_star(X0,X1) = and_star(X1,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_74,negated_conjecture,
xor(truth,and_star(xor(truth,and_star(x,xor(truth,y))),xor(truth,xor(truth,and_star(xor(truth,and_star(y,xor(truth,z))),xor(truth,xor(truth,and_star(x,xor(truth,z))))))))) != truth,
inference(cnf_transformation,[],[f21]) ).
tcf(c_183,plain,
! [X0: $i] : and_star(X0,xor(truth,X0)) = falsehood,
inference(demodulation,[status(thm)],[c_67,c_72]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] : and_star(X0,xor(truth,and_star(xor(truth,X1),X0))) = and_star(X1,xor(truth,and_star(xor(truth,X0),X1))),
inference(demodulation,[status(thm)],[c_69,c_70,c_72]) ).
tcf(c_185,plain,
xor(truth,and_star(xor(truth,and_star(x,xor(truth,y))),xor(truth,xor(truth,and_star(xor(truth,xor(truth,and_star(x,xor(truth,z)))),xor(truth,and_star(y,xor(truth,z)))))))) != truth,
inference(demodulation,[status(thm)],[c_74,c_72]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i,X2: $i] : and_star(X0,and_star(X1,X2)) = and_star(X1,and_star(X0,X2)),
inference(superposition,[status(thm)],[c_71,c_72]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i] : xor(X0,xor(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_64,c_63]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i] : and_star(X0,xor(X1,X1)) = xor(X1,X1),
inference(superposition,[status(thm)],[c_64,c_66]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i] : xor(X0,xor(X1,truth)) = xor(X1,xor(truth,X0)),
inference(superposition,[status(thm)],[c_70,c_68]) ).
tcf(c_223,plain,
! [X0: $i] : and_star(truth,X0) = X0,
inference(superposition,[status(thm)],[c_72,c_65]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i] : and_star(X0,and_star(xor(truth,X0),X1)) = and_star(falsehood,X1),
inference(superposition,[status(thm)],[c_183,c_71]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] : and_star(X0,and_star(X1,xor(truth,and_star(X0,X1)))) = falsehood,
inference(superposition,[status(thm)],[c_183,c_71]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i] : and_star(X0,xor(truth,and_star(xor(truth,X1),X0))) = and_star(X1,xor(truth,and_star(X1,xor(truth,X0)))),
inference(superposition,[status(thm)],[c_72,c_184]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] : and_star(X0,and_star(X1,xor(truth,X0))) = and_star(X1,falsehood),
inference(superposition,[status(thm)],[c_183,c_186]) ).
tcf(c_571,plain,
! [X0: $i] : xor(truth,xor(truth,X0)) = X0,
inference(superposition,[status(thm)],[c_210,c_193]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i] : and_star(X0,and_star(xor(X0,truth),X1)) = and_star(falsehood,X1),
inference(superposition,[status(thm)],[c_70,c_232]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i,X2: $i] : and_star(X0,and_star(and_star(X1,xor(truth,and_star(X0,X1))),X2)) = and_star(falsehood,X2),
inference(superposition,[status(thm)],[c_233,c_71]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i] : and_star(xor(truth,X0),xor(truth,and_star(xor(truth,X0),xor(truth,X1)))) = and_star(X1,xor(truth,and_star(xor(X0,xor(truth,truth)),X1))),
inference(superposition,[status(thm)],[c_210,c_248]) ).
tcf(c_1019,plain,
! [X0: $i,X1: $i] : and_star(X0,and_star(X1,xor(X0,truth))) = and_star(X1,falsehood),
inference(superposition,[status(thm)],[c_70,c_267]) ).
tcf(c_1050,plain,
! [X0: $i] : and_star(X0,xor(truth,truth)) = and_star(X0,falsehood),
inference(superposition,[status(thm)],[c_267,c_223]) ).
tcf(c_1166,plain,
! [X0: $i] : and_star(X0,falsehood) = xor(truth,truth),
inference(ac_demodulation,[status(thm)],[c_1050,c_194,c_71,c_72]) ).
tcf(c_1210,plain,
! [X0: $i,X1: $i] : and_star(X0,and_star(X1,xor(X0,truth))) = xor(truth,truth),
inference(demodulation,[status(thm)],[c_1019,c_1166]) ).
tcf(c_1222,plain,
! [X0: $i] : and_star(falsehood,X0) = xor(truth,truth),
inference(ac_demodulation,[status(thm)],[c_611,c_1210,c_71,c_72]) ).
tcf(c_1317,plain,
! [X0: $i,X1: $i,X2: $i] : and_star(X0,and_star(and_star(X1,xor(truth,and_star(X0,X1))),X2)) = xor(truth,truth),
inference(demodulation,[status(thm)],[c_698,c_1222]) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i,X2: $i] : and_star(X0,and_star(X1,and_star(xor(truth,and_star(X0,X1)),X2))) = xor(truth,truth),
inference(theory_normalisation,[status(thm)],[c_1317,c_71,c_72]) ).
tcf(c_1457,plain,
! [X0: $i,X1: $i] : and_star(xor(truth,X0),xor(truth,and_star(xor(truth,X0),xor(truth,X1)))) = and_star(X1,xor(truth,and_star(X0,X1))),
inference(demodulation,[status(thm)],[c_905,c_193]) ).
tcf(c_2095,plain,
xor(truth,and_star(xor(truth,and_star(x,xor(truth,y))),and_star(xor(truth,xor(truth,and_star(x,xor(truth,z)))),xor(truth,and_star(y,xor(truth,z)))))) != truth,
inference(superposition,[status(thm)],[c_571,c_185]) ).
tcf(c_3484,plain,
$false,
inference(ground_joinability,[status(thm)],[c_2095,c_71,c_186,c_571,c_1318,c_1457]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL162-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 22:07:18 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42 Running UEQ theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43
% 0.16/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.43
% 0.16/0.43 % Detected problem language: tptp
% 0.16/0.45 % Proving...
% 14.50/8.39 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 14.50/8.39 % SZS status Started for theBenchmark.p
% 14.50/8.39 % SZS status Unsatisfiable for theBenchmark.p
% 14.50/8.39
% 14.50/8.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.50/8.39
% 14.50/8.39 % ------ iProver source info
% 14.50/8.39
% 14.50/8.39 % git: date: 2026-07-19 20:42:38 +0200
% 14.50/8.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.50/8.39 % git: non_committed_changes: false
% 14.50/8.39
% 14.50/8.39 % ------ Parsing...% successful
% 14.50/8.39
% 14.50/8.39
% 14.50/8.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.50/8.39
% 14.50/8.39 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 14.50/8.39
% 14.50/8.39 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.50/8.39
% 14.50/8.39 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 14.50/8.39 % ------ Proving...
% 14.50/8.39 % ------ Problem Properties
% 14.50/8.39
% 14.50/8.39 %
% 14.50/8.39 % clauses 11
% 14.50/8.39 % conjectures 1
% 14.50/8.39 % EPR 0
% 14.50/8.39 % Horn 11
% 14.50/8.39 % unary 11
% 14.50/8.39 % binary 0
% 14.50/8.39 % lits 11
% 14.50/8.39 % lits eq 11
% 14.50/8.39 % fd_pure 0
% 14.50/8.39 % fd_pseudo 0
% 14.50/8.39 % fd_cond 0
% 14.50/8.39 % fd_pseudo_cond 0
% 14.50/8.39 % AC symbols 1
% 14.50/8.39
% 14.50/8.39 % ------ Input Options Time Limit: Unbounded
% 14.50/8.39
% 14.50/8.39
% 14.50/8.39 % ------
% 14.50/8.39 % Current options:
% 14.50/8.39 % ------
% 14.50/8.39
% 14.50/8.39
% 14.50/8.39 %
% 14.50/8.39
% 14.50/8.39 % ------ Proving...
% 14.50/8.39 %
% 14.50/8.39
% 14.50/8.39 % SZS status Unsatisfiable for theBenchmark.p
% 14.50/8.39
% 14.50/8.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.50/8.39
% 14.50/8.39
%------------------------------------------------------------------------------