%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWX239-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 03:32:55 PM UTC 2026
% Result : Unsatisfiable 13.37s 7.77s
% Output : CNFRefutation 13.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 74 ( 74 unt; 0 def)
% Number of atoms : 74 ( 73 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 19 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : aux(X0,X1,btrue) = eps,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
fof(f6,axiom,
! [X2,X0,X1] : aux3(X0,X1,X2,bfalse) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
fof(f7,plain,
! [X2,X0,X1] : bfalse = aux3(X0,X1,X2,bfalse),
inference(reorient_equations,[],[f6]) ).
fof(f90,axiom,
notb(btrue) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_071) ).
fof(f91,plain,
bfalse = notb(btrue),
inference(reorient_equations,[],[f90]) ).
fof(f94,axiom,
! [X0] : andb(btrue,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_073) ).
fof(f97,axiom,
eps2(eps) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_075) ).
fof(f98,plain,
btrue = eps2(eps),
inference(reorient_equations,[],[f97]) ).
fof(f100,axiom,
! [X0,X1] : eps2(y(X0,X1)) = andb(eps2(X0),eps2(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_077) ).
fof(f101,axiom,
! [X0] : eps2(star(X0)) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_078) ).
fof(f102,plain,
! [X0] : btrue = eps2(star(X0)),
inference(reorient_equations,[],[f101]) ).
fof(f107,axiom,
! [X0,X1] : step(atom(X0),X1) = aux(X1,X0,eq(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_081) ).
fof(f110,axiom,
! [X0,X1] : step(star(X0),X1) = y(step(X0,X1),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_084) ).
fof(f115,axiom,
! [X0] : rec(X0,nil2) = eps2(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_087) ).
fof(f116,plain,
! [X0] : eps2(X0) = rec(X0,nil2),
inference(reorient_equations,[],[f115]) ).
fof(f117,axiom,
! [X2,X0,X1] : rec(X0,cons2(X1,X2)) = rec(step(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_088) ).
fof(f129,axiom,
! [X0,X1] : reck2(atom(X0),cons2(X1,nil2)) = eq(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_095) ).
fof(f130,plain,
! [X0,X1] : eq(X0,X1) = reck2(atom(X0),cons2(X1,nil2)),
inference(reorient_equations,[],[f129]) ).
fof(f137,axiom,
! [X2,X0,X1] : reck2(star(X0),cons2(X1,X2)) = aux3(X0,X1,X2,notb(eps2(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_100) ).
fof(f138,axiom,
! [X0,X1] : prop_same(X0,X1) = eq2(rec(X0,X1),reck2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_101) ).
fof(f153,axiom,
eq2(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_109) ).
fof(f154,plain,
bfalse = eq2(btrue,bfalse),
inference(reorient_equations,[],[f153]) ).
fof(f155,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).
fof(f156,plain,
! [X0] : btrue = eq(X0,X0),
inference(reorient_equations,[],[f155]) ).
fof(f157,axiom,
! [X0] : eq2(X0,X0) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_111) ).
fof(f158,plain,
! [X0] : btrue = eq2(X0,X0),
inference(reorient_equations,[],[f157]) ).
fof(f159,negated_conjecture,
! [X0,X1] : eq2(prop_same(X0,X1),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f160,plain,
! [X0,X1] : btrue != eq2(prop_same(X0,X1),bfalse),
inference(reorient_equations,[],[f159]) ).
fof(f161,plain,
btrue = rec(eps,nil2),
inference(definition_unfolding,[],[f98,f116]) ).
fof(f163,plain,
! [X0,X1] : rec(y(X0,X1),nil2) = andb(rec(X0,nil2),rec(X1,nil2)),
inference(definition_unfolding,[],[f100,f116,f116,f116]) ).
fof(f164,plain,
! [X0] : btrue = rec(star(X0),nil2),
inference(definition_unfolding,[],[f102,f116]) ).
fof(f167,plain,
! [X0,X1] : step(atom(X0),X1) = aux(X1,X0,reck2(atom(X0),cons2(X1,nil2))),
inference(definition_unfolding,[],[f107,f130]) ).
fof(f169,plain,
! [X2,X0,X1] : reck2(star(X0),cons2(X1,X2)) = aux3(X0,X1,X2,notb(rec(X0,nil2))),
inference(definition_unfolding,[],[f137,f116]) ).
fof(f176,plain,
! [X0] : btrue = reck2(atom(X0),cons2(X0,nil2)),
inference(definition_unfolding,[],[f156,f130]) ).
fof(f177,plain,
! [X0,X1] : btrue != eq2(eq2(rec(X0,X1),reck2(X0,X1)),bfalse),
inference(definition_unfolding,[],[f160,f138]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i] : aux(X0,X1,btrue) = eps,
inference(cnf_transformation,[],[f1]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] : aux3(X0,X1,X2,bfalse) = bfalse,
inference(cnf_transformation,[],[f7]) ).
tcf(c_233,plain,
notb(btrue) = bfalse,
inference(cnf_transformation,[],[f91]) ).
tcf(c_235,plain,
! [X0: $i] : andb(btrue,X0) = X0,
inference(cnf_transformation,[],[f94]) ).
tcf(c_237,plain,
rec(eps,nil2) = btrue,
inference(cnf_transformation,[],[f161]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i] : andb(rec(X0,nil2),rec(X1,nil2)) = rec(y(X0,X1),nil2),
inference(cnf_transformation,[],[f163]) ).
tcf(c_240,plain,
! [X0: $i] : rec(star(X0),nil2) = btrue,
inference(cnf_transformation,[],[f164]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] : aux(X0,X1,reck2(atom(X1),cons2(X0,nil2))) = step(atom(X1),X0),
inference(cnf_transformation,[],[f167]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i] : y(step(X0,X1),star(X0)) = step(star(X0),X1),
inference(cnf_transformation,[],[f110]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i] : rec(step(X0,X1),X2) = rec(X0,cons2(X1,X2)),
inference(cnf_transformation,[],[f117]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i,X2: $i] : aux3(X0,X1,X2,notb(rec(X0,nil2))) = reck2(star(X0),cons2(X1,X2)),
inference(cnf_transformation,[],[f169]) ).
tcf(c_268,plain,
eq2(btrue,bfalse) = bfalse,
inference(cnf_transformation,[],[f154]) ).
tcf(c_269,plain,
! [X0: $i] : reck2(atom(X0),cons2(X0,nil2)) = btrue,
inference(cnf_transformation,[],[f176]) ).
tcf(c_270,plain,
! [X0: $i] : eq2(X0,X0) = btrue,
inference(cnf_transformation,[],[f158]) ).
tcf(c_271,negated_conjecture,
! [X0: $i,X1: $i] : eq2(eq2(rec(X0,X1),reck2(X0,X1)),bfalse) != btrue,
inference(cnf_transformation,[],[f177]) ).
tcf(c_470,plain,
! [X0: $i] : rec(y(eps,X0),nil2) = andb(btrue,rec(X0,nil2)),
inference(superposition,[status(thm)],[c_237,c_239]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i] : rec(y(star(X0),X1),nil2) = andb(btrue,rec(X1,nil2)),
inference(superposition,[status(thm)],[c_240,c_239]) ).
tcf(c_475,plain,
! [X0: $i] : rec(y(X0,eps),nil2) = andb(rec(X0,nil2),btrue),
inference(superposition,[status(thm)],[c_237,c_239]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] : rec(y(X0,star(X1)),nil2) = andb(rec(X0,nil2),btrue),
inference(superposition,[status(thm)],[c_240,c_239]) ).
tcf(c_534,plain,
! [X0: $i] : aux(X0,X0,btrue) = step(atom(X0),X0),
inference(superposition,[status(thm)],[c_269,c_243]) ).
tcf(c_543,plain,
! [X0: $i,X1: $i,X2: $i] : aux3(star(X0),X1,X2,notb(btrue)) = reck2(star(star(X0)),cons2(X1,X2)),
inference(superposition,[status(thm)],[c_240,c_260]) ).
tcf(c_594,plain,
! [X0: $i] : step(atom(X0),X0) = eps,
inference(demodulation,[status(thm)],[c_534,c_162]) ).
tcf(c_612,plain,
! [X0: $i] : rec(y(eps,X0),nil2) = rec(X0,nil2),
inference(demodulation,[status(thm)],[c_470,c_235]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i] : rec(y(X0,star(X1)),nil2) = rec(y(X0,eps),nil2),
inference(demodulation,[status(thm)],[c_476,c_475]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i] : rec(y(star(X0),X1),nil2) = rec(X1,nil2),
inference(demodulation,[status(thm)],[c_471,c_235]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i,X2: $i] : reck2(star(star(X0)),cons2(X1,X2)) = aux3(star(X0),X1,X2,bfalse),
inference(light_normalisation,[status(thm)],[c_543,c_233]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i,X2: $i] : reck2(star(star(X0)),cons2(X1,X2)) = bfalse,
inference(demodulation,[status(thm)],[c_644,c_167]) ).
tcf(c_1151,plain,
! [X0: $i] : step(star(atom(X0)),X0) = y(eps,star(atom(X0))),
inference(superposition,[status(thm)],[c_594,c_246]) ).
tcf(c_1269,plain,
! [X0: $i,X1: $i] : rec(y(y(eps,X0),X1),nil2) = andb(rec(X0,nil2),rec(X1,nil2)),
inference(superposition,[status(thm)],[c_612,c_239]) ).
tcf(c_1286,plain,
! [X0: $i,X1: $i,X2: $i] : eq2(eq2(rec(star(star(X0)),cons2(X1,X2)),bfalse),bfalse) != btrue,
inference(superposition,[status(thm)],[c_645,c_271]) ).
tcf(c_1511,plain,
! [X0: $i,X1: $i] : rec(y(y(eps,X0),X1),nil2) = rec(y(X0,X1),nil2),
inference(demodulation,[status(thm)],[c_1269,c_239]) ).
tcf(c_2822,plain,
! [X0: $i,X1: $i] : rec(y(step(X0,X1),eps),nil2) = rec(step(star(X0),X1),nil2),
inference(superposition,[status(thm)],[c_246,c_628]) ).
tcf(c_3034,plain,
! [X0: $i,X1: $i] : rec(y(step(X0,X1),eps),nil2) = rec(star(X0),cons2(X1,nil2)),
inference(demodulation,[status(thm)],[c_2822,c_249]) ).
tcf(c_21494,plain,
! [X0: $i] : rec(y(y(eps,star(atom(X0))),eps),nil2) = rec(star(star(atom(X0))),cons2(X0,nil2)),
inference(superposition,[status(thm)],[c_1151,c_3034]) ).
tcf(c_21670,plain,
! [X0: $i] : rec(star(star(atom(X0))),cons2(X0,nil2)) = rec(eps,nil2),
inference(demodulation,[status(thm)],[c_21494,c_630,c_1511]) ).
tcf(c_21671,plain,
! [X0: $i] : rec(star(star(atom(X0))),cons2(X0,nil2)) = btrue,
inference(light_normalisation,[status(thm)],[c_21670,c_237]) ).
tcf(c_22338,plain,
eq2(eq2(btrue,bfalse),bfalse) != btrue,
inference(superposition,[status(thm)],[c_21671,c_1286]) ).
tcf(c_22605,plain,
eq2(bfalse,bfalse) != btrue,
inference(light_normalisation,[status(thm)],[c_22338,c_268]) ).
tcf(c_22606,plain,
$false,
inference(ground_joinability,[status(thm)],[c_22605,c_270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX239-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.39 % Computer : n016.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Thu Sep 24 23:52:19 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.43 Running UEQ theorem proving
% 0.15/5.43 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
% 0.15/5.44
% 0.15/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 13.37/7.77 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 13.37/7.77 % SZS status Started for theBenchmark.p
% 13.37/7.77 % SZS status Unsatisfiable for theBenchmark.p
% 13.37/7.77
% 13.37/7.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 13.37/7.77
% 13.37/7.77 % ------ iProver source info
% 13.37/7.77
% 13.37/7.77 % git: date: 2026-07-19 20:42:38 +0200
% 13.37/7.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 13.37/7.77 % git: non_committed_changes: false
% 13.37/7.77
% 13.37/7.77 % ------ Parsing...% successful
% 13.37/7.77
% 13.37/7.77
% 13.37/7.77 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 13.37/7.77 % ------ Proving...
% 13.37/7.77 % ------ Problem Properties
% 13.37/7.77
% 13.37/7.77 %
% 13.37/7.77 % clauses 110
% 13.37/7.77 % conjectures 1
% 13.37/7.77 % EPR 0
% 13.37/7.77 % Horn 110
% 13.37/7.77 % unary 110
% 13.37/7.77 % binary 0
% 13.37/7.77 % lits 110
% 13.37/7.77 % lits eq 110
% 13.37/7.77 % fd_pure 0
% 13.37/7.77 % fd_pseudo 0
% 13.37/7.77 % fd_cond 0
% 13.37/7.77 % fd_pseudo_cond 0
% 13.37/7.77 % AC symbols 0
% 13.37/7.77
% 13.37/7.77 % ------ Input Options Time Limit: Unbounded
% 13.37/7.77
% 13.37/7.77
% 13.37/7.77 % ------
% 13.37/7.77 % Current options:
% 13.37/7.77 % ------
% 13.37/7.77
% 13.37/7.77
% 13.37/7.77 %
% 13.37/7.77
% 13.37/7.77 % ------ Proving...
% 13.37/7.77 %
% 13.37/7.77
% 13.37/7.77 % SZS status Unsatisfiable for theBenchmark.p
% 13.37/7.77
% 13.37/7.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.37/7.77
% 13.37/7.77
%------------------------------------------------------------------------------