%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 03:32:46 PM UTC 2026
% Result : Unsatisfiable 3.69s 1.45s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 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 : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : impl(btrue,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f4,axiom,
! [X0] : drop(s(X0),nil) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
fof(f5,plain,
! [X0] : nil = drop(s(X0),nil),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X0,X1] : drop(s(X0),cons(X1,X2)) = drop(X0,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(f7,axiom,
! [X0] : drop(z,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
fof(f8,axiom,
! [X2,X0,X1] : prop_drop_inj2(X0,X1,X2) = impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
fof(f18,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
fof(f19,plain,
! [X0] : btrue = eq(X0,X0),
inference(reorient_equations,[],[f18]) ).
fof(f22,axiom,
! [X0] : eq3(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
fof(f23,plain,
! [X0] : btrue = eq3(X0,X0),
inference(reorient_equations,[],[f22]) ).
fof(f30,axiom,
! [X0,X1] : eq(cons(X0,X1),nil) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
fof(f31,plain,
! [X0,X1] : bfalse = eq(cons(X0,X1),nil),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
! [X2,X0,X1] : eq3(prop_drop_inj2(X0,X1,X2),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f33,plain,
! [X2,X0,X1] : btrue != eq3(prop_drop_inj2(X0,X1,X2),bfalse),
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)),bfalse),
inference(definition_unfolding,[],[f33,f8]) ).
tcf(c_68,plain,
! [X0: $i] : impl(btrue,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_70,plain,
! [X0: $i] : drop(s(X0),nil) = nil,
inference(cnf_transformation,[],[f5]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] : drop(s(X0),cons(X1,X2)) = drop(X0,X2),
inference(cnf_transformation,[],[f6]) ).
tcf(c_72,plain,
! [X0: $i] : drop(z,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
tcf(c_78,plain,
! [X0: $i] : eq(X0,X0) = btrue,
inference(cnf_transformation,[],[f19]) ).
tcf(c_80,plain,
! [X0: $i] : eq3(X0,X0) = btrue,
inference(cnf_transformation,[],[f23]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] : eq(cons(X0,X1),nil) = bfalse,
inference(cnf_transformation,[],[f31]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : eq3(impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)),bfalse) != btrue,
inference(cnf_transformation,[],[f34]) ).
tcf(c_155,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : eq3(impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)),bfalse) != btrue,
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i] : eq3(impl(eq(drop(s(X0),X1),nil),eq(X1,nil)),bfalse) != btrue,
inference(superposition,[status(thm)],[c_70,c_155]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i,X2: $i] : eq3(impl(eq(drop(s(X0),cons(X1,X2)),nil),bfalse),bfalse) != btrue,
inference(superposition,[status(thm)],[c_84,c_253]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i] : eq3(impl(eq(drop(X0,X1),nil),bfalse),bfalse) != btrue,
inference(light_normalisation,[status(thm)],[c_272,c_71]) ).
tcf(c_444,plain,
! [X0: $i] : eq3(impl(eq(X0,nil),bfalse),bfalse) != btrue,
inference(superposition,[status(thm)],[c_72,c_274]) ).
tcf(c_446,plain,
eq3(impl(btrue,bfalse),bfalse) != btrue,
inference(superposition,[status(thm)],[c_78,c_444]) ).
tcf(c_448,plain,
$false,
inference(ground_joinability,[status(thm)],[c_446,c_68,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n026.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 23:35:25 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.45
% 0.14/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.45
% 0.14/0.45 % Detected problem language: tptp
% 0.14/0.47 % Proving...
% 3.69/1.45 % SZS status Started for theBenchmark.p
% 3.69/1.45 % SZS status Unsatisfiable for theBenchmark.p
% 3.69/1.45
% 3.69/1.45 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.69/1.45
% 3.69/1.45 % ------ iProver source info
% 3.69/1.45
% 3.69/1.45 % git: date: 2026-07-19 20:42:38 +0200
% 3.69/1.45 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.69/1.45 % git: non_committed_changes: false
% 3.69/1.45
% 3.69/1.45 % ------ Parsing...% successful
% 3.69/1.45
% 3.69/1.45
% 3.69/1.45 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.69/1.45
% 3.69/1.45 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.69/1.45
% 3.69/1.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.69/1.45
% 3.69/1.45 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.69/1.45 % ------ Proving...
% 3.69/1.45 % ------ Problem Properties
% 3.69/1.45
% 3.69/1.45 %
% 3.69/1.45 % clauses 18
% 3.69/1.45 % conjectures 1
% 3.69/1.45 % EPR 0
% 3.69/1.45 % Horn 18
% 3.69/1.45 % unary 16
% 3.69/1.45 % binary 2
% 3.69/1.45 % lits 20
% 3.69/1.45 % lits eq 20
% 3.69/1.45 % fd_pure 0
% 3.69/1.45 % fd_pseudo 0
% 3.69/1.45 % fd_cond 0
% 3.69/1.45 % fd_pseudo_cond 0
% 3.69/1.45 % AC symbols 0
% 3.69/1.45
% 3.69/1.45 % ------ Schedule dynamic 5 is on
% 3.69/1.45
% 3.69/1.45 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.69/1.45
% 3.69/1.45
% 3.69/1.45 % ------
% 3.69/1.45 % Current options:
% 3.69/1.45 % ------
% 3.69/1.45
% 3.69/1.45
% 3.69/1.45 %
% 3.69/1.45
% 3.69/1.45 % ------ Proving...
% 3.69/1.45 %
% 3.69/1.45
% 3.69/1.45 % SZS status Unsatisfiable for theBenchmark.p
% 3.69/1.45
% 3.69/1.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.69/1.45
% 3.69/1.45
%------------------------------------------------------------------------------