%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV284-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 01:08:40 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1522,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X1),X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f1523,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f1524,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X0,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f1531,negated_conjecture,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1532,negated_conjecture,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_N,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1533,negated_conjecture,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1549,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
inference(resolution,[],[f1523,f1531]) ).
fof(f1553,plain,
! [X0,X1] : c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
inference(resolution,[],[f1524,f1531]) ).
fof(f1557,plain,
! [X2,X0,X1] : c_lessequals(X0,v_x(c_plus(c_plus(X0,X1,tc_nat),X2,tc_nat)),tc_nat),
inference(resolution,[],[f1553,f1524]) ).
fof(f1565,plain,
! [X2,X3,X0,X1] : c_lessequals(X0,v_x(c_plus(c_plus(c_plus(X1,X0,tc_nat),X2,tc_nat),X3,tc_nat)),tc_nat),
inference(resolution,[],[f1557,f1523]) ).
fof(f1583,plain,
! [X2,X3,X0,X1,X4] : c_lessequals(X0,v_x(c_plus(c_plus(c_plus(X1,c_plus(X0,X2,tc_nat),tc_nat),X3,tc_nat),X4,tc_nat)),tc_nat),
inference(resolution,[],[f1565,f1524]) ).
fof(f1637,plain,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat) ),
inference(resolution,[],[f1522,f1533]) ).
fof(f1639,plain,
! [X0] :
( ~ c_lessequals(v_N,v_x(X0),tc_nat)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat) ),
inference(resolution,[],[f1637,f1532]) ).
fof(f1643,plain,
! [X0] : ~ c_lessequals(v_sko__upX(v_msg),v_x(c_plus(X0,v_N,tc_nat)),tc_nat),
inference(resolution,[],[f1639,f1549]) ).
fof(f1681,plain,
$false,
inference(resolution,[],[f1643,f1583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV284-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n006.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 10:25:10 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/1.30 % (3870008)Input is clausal, will run a generic CNF schedule.
% 0.19/1.30 % (3870015)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1811583214:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.30 % (3870018)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2882116022:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.30 % (3870016)lrs+10_1_sil=8000:sp=occurrence:random_seed=2378706617:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.30 % (3870014)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=334717238:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.30 % (3870013)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2332238634:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.30 % (3870019)dis-21_1_sil=8000:lcm=predicate:random_seed=2018840840:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.19/1.30 % (3870017)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4258792167:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.30 % (3870018)First to succeed.
% 0.19/1.30 % (3870018)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3870008"
% 0.19/1.30 % (3870016)Instruction limit reached!
% 0.19/1.30 % (3870016)------------------------------
% 0.19/1.30 % (3870016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3870016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3870016)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3870016)Termination reason: Instruction limit
% 0.19/1.30 % (3870016)Termination phase: Saturation
% 0.19/1.30 % (3870016)Time elapsed: 0.061 s
% 0.19/1.30 % (3870016)Peak memory usage: 89 MB
% 0.19/1.30 % (3870016)Instructions burned: 107 (million)
% 0.19/1.30 % (3870019)Instruction limit reached!
% 0.19/1.30 % (3870019)------------------------------
% 0.19/1.30 % (3870019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3870019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3870019)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3870019)Termination reason: Instruction limit
% 0.19/1.30 % (3870019)Termination phase: Saturation
% 0.19/1.30 % (3870019)Time elapsed: 0.069 s
% 0.19/1.30 % (3870019)Peak memory usage: 90 MB
% 0.19/1.30 % (3870019)Instructions burned: 118 (million)
% 0.19/1.30 % (3870017)Instruction limit reached!
% 0.19/1.30 % (3870017)------------------------------
% 0.19/1.30 % (3870017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3870017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3870017)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3870017)Termination reason: Instruction limit
% 0.19/1.30 % (3870017)Termination phase: Saturation
% 0.19/1.30 % (3870017)Time elapsed: 0.072 s
% 0.19/1.30 % (3870017)Peak memory usage: 89 MB
% 0.19/1.30 % (3870017)Instructions burned: 115 (million)
% 0.19/1.30 % (3870027)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=547005165:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.19/1.30 % (3870028)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=740435217:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 0.19/1.30 % (3870027)Refutation not found, incomplete strategy
% 0.19/1.30 % (3870027)------------------------------
% 0.19/1.30 % (3870027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3870027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3870027)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3870027)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.30 % (3870027)Time elapsed: 0.005 s
% 0.19/1.30 % (3870027)Peak memory usage: 88 MB
% 0.19/1.30 % (3870027)Instructions burned: 6 (million)
% 0.19/1.30 % (3870029)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=194201346:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.19/1.30 % (3870018)Refutation found. Thanks to Tanya!
% 0.19/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30 % (3870018)------------------------------
% 0.19/1.30 % (3870018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3870018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3870018)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3870018)Termination reason: Refutation
% 0.19/1.30 % (3870018)Time elapsed: 0.021 s
% 0.19/1.30 % (3870018)Peak memory usage: 89 MB
% 0.19/1.30 % (3870018)Instructions burned: 33 (million)
% 0.19/1.30 % (3870018)------------------------------
% 0.19/1.30 % (3870018)------------------------------
% 0.19/1.30 % (3870008)Success in time 0.452 s
% 0.19/1.30 % Vampire exiting
%------------------------------------------------------------------------------